Edit Profile (opens in new tab) Cariñena, José F. Co-Author Distance Author ID: carinena.jose-f Published as: Cariñena, José F.; Cariñena, J. F.; Carinena, Jose F.; Cariñena, Jose F.; Carinena, J. F.; Carińena, José F.; Cariǹena, José F. more...less External Links: MGP · ORCID Documents Indexed: 228 Publications since 1974, including 2 Books and 17 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 5 Reviews Co-Authors: 65 Co-Authors with 216 Joint Publications 1,268 Co-Co-Authors all top 5 Co-Authors 8 single-authored 60 Rañada, Manuel F. 38 Santander, Mariano 32 de Lucas, Javier 28 Martínez Fernández, Eduardo 26 Marmo, Giuseppe 18 Ramos, Arturo 15 Grabowski, Janusz 14 Clemente-Gallardo, Jesús 11 Ibort, Luis Alberto 10 Figueroa, Héctor 10 Santos, Patrícia S. 8 Fernández-Núñez, José 8 Guha, Partha 7 Asorey, Manuel 7 del Olmo, Mariano A. 7 Muñoz-Lecanda, Miguel C. 6 Gracia-Bondía, José M. 6 Gràcia, Xavier 6 Román-Roy, Narciso 5 Falceto, Fernando 5 Nunes da Costa, Joana Margarida M. 5 Perelomov, Askold M. 5 Sardón, Cristina 4 Gheorghiu, Irina 4 Nasarre, Javier 3 Boya, Luis Joaquín 3 Ibort, Alberto 3 Jover-Galtier, J. A. 3 Plyushchay, Mikhail S. 3 Sarlet, Willy 3 Várilly, Joseph C. 2 Camacaro, Jaime R. 2 Crampin, Mike 2 Herranz, Francisco José 2 Lizzi, Fedele 2 Morandi, Giuseppe 2 Vitale, Patrizia 1 Abrunheiro, Lígia 1 Avram, Florin 1 Badía-Majós, A. 1 Ballesteros, Angel 1 Barriuso, Alberto G. 1 Camarinha, Margarida 1 Campoamor-Stursberg, Rutwig 1 Cantrijn, Frans 1 Ebrahimi-Fard, Kurusch 1 Fernández C., David J. 1 Follana, Eduardo 1 Gomis, Joaquim 1 Güngör, Faruk 1 Inzunza, Luis 1 Lacomba, Ernesto A. 1 Lázaro-Camí, Joan-Andreu 1 Leach, Peter Gavin Lawrence 1 Monzón, Juan J. 1 Muñoz-Lecanda, C. 1 Paramio, Miguel 1 Rivero, Alejandro 1 Rodríguez-Olmos, Miguel 1 Sánchez-Soto, Luis L. 1 Sanz-Gil, Teresa 1 Senthilvelan, Murugaian 1 Torres, Pedro José 1 Winternitz, Pavel 1 Wysocki, Daniel all top 5 Serials 26 Journal of Mathematical Physics 25 Journal of Physics A: Mathematical and Theoretical 24 Journal of Physics A: Mathematical and General 18 International Journal of Geometric Methods in Modern Physics 9 Reports on Mathematical Physics 8 International Journal of Modern Physics A 7 Letters in Mathematical Physics 5 International Journal of Theoretical Physics 5 Differential Geometry and its Applications 4 Journal of Geometry and Physics 4 Acta Applicandae Mathematicae 4 Annals of Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Reviews in Mathematical Physics 3 Journal of Nonlinear Mathematical Physics 2 European Journal of Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Physics Letters. A 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Dynamics 2 Journal of Geometric Mechanics 1 Communications in Mathematical Physics 1 Inverse Problems 1 Physica A 1 Theoretical and Mathematical Physics 1 Fortschritte der Physik 1 Dissertationes Mathematicae 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico 1 Celestial Mechanics 1 Celestial Mechanics and Dynamical Astronomy 1 Electronic Journal of Differential Equations (EJDE) 1 Regular and Chaotic Dynamics 1 Qualitative Theory of Dynamical Systems 1 La Gaceta de la Real Sociedad Matemática Española 1 Czechoslovak Journal of Physics 1 Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas 1 Anales de Física. Monografías 1 AIP Conference Proceedings all top 5 Fields 96 Mechanics of particles and systems (70-XX) 81 Dynamical systems and ergodic theory (37-XX) 69 Ordinary differential equations (34-XX) 57 Quantum theory (81-XX) 41 Differential geometry (53-XX) 31 Topological groups, Lie groups (22-XX) 26 Global analysis, analysis on manifolds (58-XX) 19 Nonassociative rings and algebras (17-XX) 14 Partial differential equations (35-XX) 6 Optics, electromagnetic theory (78-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 1,851 times in 964 Documents Cited by ▼ Year ▼ On the multisymplectic formalism for first order field theories. Zbl 0782.58057 Cariñena, J. F.; Crampin, M.; Ibort, L. A. 81 1991 A nonlinear oscillator with quasi-harmonic behaviour: two- and \(n\)-dimensional oscillators. Zbl 1068.37038 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Senthilvelan, Murugaian 51 2004 Geometric Hamilton-Jacobi theory. Zbl 1158.70007 Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 48 2006 Lie-Scheffers systems: a geometric approach. Zbl 1221.34025 Cariñena, J. F.; Grabowski, J.; Marmo, G. 45 2000 A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380 Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M. 44 2008 Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability. Zbl 1110.37051 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 41 2005 A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 41 2007 Quantum bi-Hamiltonian systems. Zbl 1002.81026 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 39 2000 Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 37 2007 Lie systems: theory, generalisations, and applications. Zbl 1236.34011 Cariñena, J. F.; De Lucas, J. 37 2011 The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 35 2007 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038 Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 35 2010 Geometry from dynamics, classical and quantum. Zbl 1364.81001 Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe 35 2015 Central potentials on spaces of constant curvature: the kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\). Zbl 1110.70013 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 34 2005 One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 33 2004 Reduction of degenerate Lagrangian systems. Zbl 0621.58020 Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A. 31 1986 Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016 Cariñena, José F.; Rañada, Manuel F. 23 1993 Integrability of the Riccati equation from a group-theoretical viewpoint. Zbl 0945.34022 Cariñena, José F.; Ramos, Arturo 23 1999 Derivations of differential forms along the tangent bundle projection. II. Zbl 0770.53018 Martínez, E.; Cariñena, J. F.; Sarlet, W. 22 1993 Derivations of differential forms along the tangent bundle projection. Zbl 0748.58002 Martínez, E.; Cariñena, J. F.; Sarlet, W. 21 1992 Riccati equation, factorization method and shape invariance. Zbl 0981.81023 Cariñena, José F.; Ramos, Arturo 20 2000 The nonlinear superposition principle and the Wei-Norman method. Zbl 0928.34025 Cariñena, J. F.; Marmo, G.; Nasarre, J. 20 1998 Non-Noether constants of motion. Zbl 0521.58055 Carinena, Jose F.; Ibort, Luis A. 19 1983 Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 19 2004 Lie-Hamilton systems: theory and applications. Zbl 1317.53108 Cariñena, J. F.; De Lucas, J.; Sardón, C. 19 2013 Relativistic quantum kinematics in the Moyal representation. Zbl 0706.60108 Cariñena, José F.; Gracia-Bondía, José M.; Várilly, Joseph C. 18 1990 The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. Zbl 1152.81363 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 18 2007 From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014 Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C. 18 2013 Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065 Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. 17 1998 Superposition rules for higher order systems and their applications. Zbl 1248.34008 Cariñena, J. F.; Grabowski, J.; de Lucas, J. 17 2012 Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011 Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C. 17 2014 Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011 Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo 16 2001 A new approach to the converse of Noether’s theorem. Zbl 0739.58016 Cariñena, José F.; López, Carlos; Martínez, Eduardo 16 1989 Geometrization of quantum mechanics. Zbl 1134.81386 Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G. 16 2007 A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093 Cariñena, José F.; de Lucas, Javier 15 2008 Group theoretical approach to the intertwined Hamiltonians. Zbl 1024.81009 Cariñena, José F.; Ramos, Arturo; Fernández C., David J. 15 2001 Symmetry theory and Lagrangian inverse problem for time-dependent second- order differential equations. Zbl 0709.58015 Cariñena, José F.; Martínez, Eduardo 15 1989 The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. Zbl 1317.81128 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 15 2011 Canonical transformations theory for presymplectic systems. Zbl 0592.58018 Cariñena, J. F.; Gomis, J.; Ibort, L. A.; Román, N. 14 1985 Nonstandard Hamiltonian structures of the Liénard equation and contact geometry. Zbl 1421.70030 Cariñena, José F.; Guha, Partha 14 2019 Response to ”Comment on ‘Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)’ ”. Zbl 1111.70006 Cariñena, J. F.; Ranada, M. F.; Santander, M. 13 2005 Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029 Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. 13 2008 Quasi-coordinates from the point of view of Lie algebroid structures. Zbl 1123.70018 Cariñena, José F.; Da Costa, Joana M. Nunes; Santos, Patrícia S. 12 2007 Generalized canonical transformations for time-dependent systems. Zbl 0548.70010 Asorey, Manuel; Cariñena, José F.; Ibort, Luis A. 12 1983 Hamiltonian versus Lagrangian formulations of supermechanics. Zbl 0949.70016 Cariǹena, José F.; Figueroa, Héctor 12 1997 Geometric characterization of separable second-order differential equations. Zbl 0803.34010 Martínez, Eduardo; Cariñena, José F.; Sarlet, Willy 12 1993 Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces. Zbl 1250.81029 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 12 2012 ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229 Cariñena, José F.; Plyushchay, Mikhail S. 12 2017 Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 12 2001 Geometric study of the connection between the Lagrangian and Hamiltonian constraints. Zbl 0657.58012 Cariñena, José F.; Lopez, Carlos 11 1987 A geometrical version of Noether’s theorem in supermechanics. Zbl 0846.58008 Cariñena, José F.; Figueroa, Héctor 11 1994 On the projective unitary representations of connected Lie groups. Zbl 0304.22010 Carinena, Jose F.; Santander, Mariano 11 1975 Geometric theory of the equivalence of Lagrangians for constrained systems. Zbl 0588.58020 Cariñena, José F.; Ibort, Luis A. 11 1985 Shape-invariant potentials depending on \(n\) parameters transformed by translation. Zbl 1034.81051 Cariñena, José F.; Ramos, Arturo 10 2000 On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025 Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A. 10 1994 Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316 Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F. 10 2002 On the relation between weak and strong invariance of differential equations. Zbl 0826.58043 Cariñena, José F.; del Olmo, M. A.; Winternitz, P. 10 1993 Canonoid transformations from a geometric perspective. Zbl 0656.70018 Cariñena, José F.; Rañada, Manuel F. 9 1988 Quantum evolution as a parallel transport. Zbl 0514.58026 Asorey, M.; Carinena, J. F.; Paramio, M. 9 1982 A new geometric approach to Lie systems and physical applications. Zbl 1003.34007 Cariñena, José F.; Ramos, Arturo 9 2002 Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006 Cariñena, José F.; de Lucas, Javier 9 2009 Quasi-Lie schemes: theory and applications. Zbl 1193.34011 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier 9 2009 Locally operating realizations of transformation Lie groups. Zbl 0575.22019 Cariñena, Jose F.; Del Olmo, Mariano A.; Santander, Mariano 9 1985 A geometric approach to Noether’s second theorem in time-dependent Lagrangian mechanics. Zbl 0745.58020 Cariñena, José F.; Fernández-Núñez, José; Martínez, Eduardo 9 1991 Noether’s theorem in time-dependent Lagrangian mechanics. Zbl 0786.58014 Cariñena, José F.; Martínez, Eduardo; Fernández-Núñez, José 9 1992 Higher-order superintegrability of a Holt related potential. Zbl 1333.37080 Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. 9 2013 The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II. Zbl 1278.81092 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 9 2012 The time-evolution operator for singular Lagrangians. Zbl 0638.58009 Cariñena, José F.; López, Carlos 8 1987 Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012 Cariñena, José F.; López, Carlos; Rañada, Manuel F. 8 1988 Reduction procedures in classical and quantum mechanics. Zbl 1138.70011 Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe 8 2007 Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008 Cariñena, José F.; Guha, Partha; Rañada, Manuel F. 8 2009 Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014 Cariñena, José F.; Rañada, Manuel F. 8 1989 Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton. Zbl 1124.37036 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2007 Superposition rules and second-order Riccati equations. Zbl 1225.34015 Cariñena, José F.; de Lucas Araujo, Javier 8 2011 Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach. Zbl 1378.81054 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2017 Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026 Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. 8 2017 The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2008 Noncanonical groups of transformations, anomalies, and cohomology. Zbl 0644.70011 Cariñena, J. F.; Ibort, Luis A. 7 1988 A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability. Zbl 1133.70326 Carinena, J. F.; Ranada, M. F.; Santander, M. 7 2005 Hopf algebras in dynamical systems theory. Zbl 1178.37023 Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 7 2007 Star-product in the presence of a monopole. Zbl 1238.81150 Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia 7 2010 Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032 Cariñena, José F.; Rañada, Manuel F. 7 1995 Lie algebroid generalization of geometric mechanics. Zbl 1009.70014 Cariñena, José F.; Martínez, Eduardo 7 2001 The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 7 2008 Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062 Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. 7 2016 Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021 Cariñena, J. F.; de Lucas, J.; Rañada, M. F. 7 2015 Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 7 2001 Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems. Zbl 1519.37057 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 7 2021 Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation. Zbl 0644.70013 Cariñena, José F.; López, Carlos; Román-Roy, Narciso 6 1988 Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050 Cariñena, José F.; Guha, Partha; Rañada, Manuel F. 6 2007 Vector bundle representations of groups in quantum physics. Zbl 0526.22019 Asorey, M.; Carinena, J. F.; del Olmo, M. A. 6 1983 A geometric approach to a generalized virial theorem. Zbl 1256.81055 Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. 6 2012 Feynman problem in the noncommutative case. Zbl 1089.81042 Cariñena, José F.; Figueroa, Héctor 6 2006 Lie systems and connections in fibre bundles: applications in quantum mechanics. Zbl 1104.81054 Cariñena, José F.; Ramos, Arturo 6 2005 Projective covering group versus representation groups. Zbl 0448.22011 Carinena, Jose F.; Santander, Mariano 6 1980 The time-evolution operator for higher-order singular Lagrangians. Zbl 0798.58027 Cariñena, José F.; López, Carlos 6 1992 Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034 Cariñena, José F.; Fernández Núñez, José 6 2016 Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224 Cariñena, J. F.; Falceto, F.; Grabowski, J. 6 2016 Singular Lagrangians in supermechanics. Zbl 1073.70022 Cariñena, José F.; Figueroa, Héctor 6 2003 Geometry of Lie integrability by quadratures. Zbl 1328.34010 Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F. 6 2015 Infinitesimal time reparametrisation and its applications. Zbl 1497.34020 Cariñena, José F.; Martínez, Eduardo; Muñoz-Lecanda, Miguel C. 1 2022 Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems. Zbl 1519.37057 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 7 2021 Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere \(S^3\) and on the hyperbolic space \(H^3\). Zbl 1519.37058 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 4 2021 Jacobi multipliers and Hamel’s formalism. Zbl 1519.37071 Cariñena, José F.; Santos, Patricia 2 2021 Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra. Zbl 1511.34052 Cariñena, J. F.; Güngör, F.; Torres, P. J. 3 2020 Nonstandard Hamiltonian structures of the Liénard equation and contact geometry. Zbl 1421.70030 Cariñena, José F.; Guha, Partha 14 2019 Quasi-Lie schemes for PDEs. Zbl 1423.35012 Cariñena, J. F.; Grabowski, J.; de Lucas, J. 3 2019 ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229 Cariñena, José F.; Plyushchay, Mikhail S. 12 2017 Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach. Zbl 1378.81054 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2017 Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026 Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. 8 2017 Tangent bundle geometry from dynamics: application to the Kepler problem. Zbl 1367.37051 Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G. 2 2017 Tensorial dynamics on the space of quantum states. Zbl 1376.81008 Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G. 1 2017 Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062 Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N. 7 2016 Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034 Cariñena, José F.; Fernández Núñez, José 6 2016 Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224 Cariñena, J. F.; Falceto, F.; Grabowski, J. 6 2016 Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094 Cariñena, Jose F.; Rañada, Manuel F. 4 2016 A quantum route to Hamilton-Jacobi equation: comments and remarks. Zbl 1362.35093 Cariñena, José F.; Martínez, Eduardo; Marmo, Giuseppe; Gràcia, Xavier; Muñoz-Lecanda, C. 4 2016 Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians. Zbl 1349.53110 Cariñena, José F.; Fernández Núñez, José 3 2016 Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123 Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz 1 2016 A new look at the Feynman ‘hodograph’ approach to the Kepler first law. Zbl 1396.70016 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 1 2016 Geometry from dynamics, classical and quantum. Zbl 1364.81001 Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe 35 2015 Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021 Cariñena, J. F.; de Lucas, J.; Rañada, M. F. 7 2015 Geometry of Lie integrability by quadratures. Zbl 1328.34010 Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F. 6 2015 Jacobi fields for second-order differential equations on Lie algebroids. Zbl 1351.34015 Martínez, Eduardo; Gheorghiu, Irina; Cariñena, José F. 4 2015 Quasi-Lie families, schemes, invariants and their applications to Abel equations. Zbl 1378.37053 Cariñena, J. F.; de Lucas, J. 3 2015 Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011 Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C. 17 2014 Conformal Killing vector fields and a virial theorem. Zbl 1310.37023 Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia 5 2014 Virial theorem in quasi-coordinates and Lie algebroid formalism. Zbl 1305.70042 Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia 4 2014 Lie-Hamilton systems: theory and applications. Zbl 1317.53108 Cariñena, J. F.; De Lucas, J.; Sardón, C. 19 2013 From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014 Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C. 18 2013 Higher-order superintegrability of a Holt related potential. Zbl 1333.37080 Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. 9 2013 A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015 Cariñena, José F.; Guha, Partha; de Lucas, Javier 6 2013 Canonoid transformations and master symmetries. Zbl 1271.70031 Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. 5 2013 Superposition rules for higher order systems and their applications. Zbl 1248.34008 Cariñena, J. F.; Grabowski, J.; de Lucas, J. 17 2012 Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces. Zbl 1250.81029 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 12 2012 The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II. Zbl 1278.81092 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 9 2012 A geometric approach to a generalized virial theorem. Zbl 1256.81055 Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. 6 2012 A new Lie-systems approach to second-order Riccati equations. Zbl 1271.34039 Cariñena, J. F.; de Lucas, J.; Sardón, C. 2 2012 Lie systems: theory, generalisations, and applications. Zbl 1236.34011 Cariñena, J. F.; De Lucas, J. 37 2011 The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. Zbl 1317.81128 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 15 2011 Superposition rules and second-order Riccati equations. Zbl 1225.34015 Cariñena, José F.; de Lucas Araujo, Javier 8 2011 A geometric approach to integrability of Abel differential equations. Zbl 1232.34003 Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. 5 2011 Some applications of quasi-velocities in optimal control. Zbl 1225.49026 Abrunheiro, Lígia; Camarinha, Margarida; Cariñena, José F.; Clemente-Gallardo, Jesús; Martínez, Eduardo; Santos, Patricia 4 2011 Integrability of Lie systems through Riccati equations. Zbl 1221.34026 Cariñena, José F.; de Lucas, Javier 3 2011 The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization. Zbl 1226.81103 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 3 2011 Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038 Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 35 2010 Star-product in the presence of a monopole. Zbl 1238.81150 Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia 7 2010 Lie families: theory and applications. Zbl 1236.34012 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier 6 2010 Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035 Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. 4 2010 A geometric approach to the Gibbs-Appell equations in Lagrangian mechanics. Zbl 1375.70055 Cariñena, José F.; Fernández-Núñez, José 1 2010 Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006 Cariñena, José F.; de Lucas, Javier 9 2009 Quasi-Lie schemes: theory and applications. Zbl 1193.34011 Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier 9 2009 Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008 Cariñena, José F.; Guha, Partha; Rañada, Manuel F. 8 2009 Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034 Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier 6 2009 Quantum Lie systems and integrability conditions. Zbl 1186.81067 Cariñena, José F.; de Lucas, Javier 4 2009 Gauge equivalence and conserved quantities for Lagrangian systems on Lie algebroids. Zbl 1181.37079 Cariñena, José F.; Rodríguez-Olmos, Miguel 4 2009 Geometrical description of algebraic structures: applications to quantum mechanics. Zbl 1180.81079 Cariñena, J. F.; Ibort, A.; Marmo, G.; Morandi, G. 2 2009 A geometric approach to time evolution operators of Lie quantum systems. Zbl 1168.81005 Cariñena, José F.; de Lucas, Javier; Ramos, Arturo 1 2009 A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380 Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M. 44 2008 A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093 Cariñena, José F.; de Lucas, Javier 15 2008 Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029 Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. 13 2008 The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2008 The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 7 2008 Generalized Bäcklund-Darboux transformations in one-dimensional quantum mechanics. Zbl 1144.81449 Cariñena, José F.; Ramos, Arturo 5 2008 Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030 Cariñena, José F.; Guha, Partha; Rañada, Manuel F. 5 2008 Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029 Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. 3 2008 A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 41 2007 Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 37 2007 The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 35 2007 The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. Zbl 1152.81363 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 18 2007 Geometrization of quantum mechanics. Zbl 1134.81386 Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G. 16 2007 Quasi-coordinates from the point of view of Lie algebroid structures. Zbl 1123.70018 Cariñena, José F.; Da Costa, Joana M. Nunes; Santos, Patrícia S. 12 2007 Reduction procedures in classical and quantum mechanics. Zbl 1138.70011 Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe 8 2007 Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton. Zbl 1124.37036 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 8 2007 Hopf algebras in dynamical systems theory. Zbl 1178.37023 Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 7 2007 Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050 Cariñena, José F.; Guha, Partha; Rañada, Manuel F. 6 2007 A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog. Zbl 1138.37036 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 5 2007 Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034 Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A. 2 2007 A geometric approach to integrability conditions for Riccati equations. Zbl 1138.34301 Carinena, Jose F.; de Lucas, Javier; Ramos, Arturo 2 2007 Reduction of Lagrangian mechanics on Lie algebroids. Zbl 1130.70321 Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia 1 2007 Geometric Hamilton-Jacobi theory. Zbl 1158.70007 Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 48 2006 Feynman problem in the noncommutative case. Zbl 1089.81042 Cariñena, José F.; Figueroa, Héctor 6 2006 Internal deformation of Lie algebroids and symplectic realizations. Zbl 1134.53303 Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia 2 2006 On second Noether’s theorem and gauge symmetries in mechanics. Zbl 1098.70016 Cariñena, José F.; Lázaro-Camí, Joan-Andreu; Martínez, Eduardo 2 2006 A new geometrical setting for the Hamilton-Jacobi equation. Zbl 1148.70011 Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Munõz-Lecanda, M. C.; Román-Roy, N. 1 2006 Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability. Zbl 1110.37051 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 41 2005 Central potentials on spaces of constant curvature: the kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\). Zbl 1110.70013 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 34 2005 Response to ”Comment on ‘Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)’ ”. Zbl 1111.70006 Cariñena, J. F.; Ranada, M. F.; Santander, M. 13 2005 A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability. Zbl 1133.70326 Carinena, J. F.; Ranada, M. F.; Santander, M. 7 2005 Lie systems and connections in fibre bundles: applications in quantum mechanics. Zbl 1104.81054 Cariñena, José F.; Ramos, Arturo 6 2005 Separable potentials and a triality in two-dimensional spaces of constant curvature. Zbl 1080.35100 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Sanz-Gil, Teresa 5 2005 Vector-like representation of one-dimensional scattering. Zbl 1067.81133 Sánchez-Soto, Luis; Cariñena, José F.; Barriuso, Alberto G.; Monzón, Juan J. 3 2005 Reduction of Lie algebroid structures. Zbl 1081.53069 Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia 2 2005 A nonlinear oscillator with quasi-harmonic behaviour: two- and \(n\)-dimensional oscillators. Zbl 1068.37038 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Senthilvelan, Murugaian 51 2004 One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344 Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano 33 2004 Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022 Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe 19 2004 Singular Lagrangians in supermechanics. Zbl 1073.70022 Cariñena, José F.; Figueroa, Héctor 6 2003 Motion on Lie groups and its applications in control theory. Zbl 1086.93006 Cariñena, José F.; Clemente-Gallardo, Jesús; Ramos, Arturo 4 2003 Singular Lagrangians affine in velocities. Zbl 1066.70019 Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F. 3 2003 Applications of Lie systems in quantum mechanics and control theory. Zbl 1090.34004 Cariñena, José F.; Ramos, Arturo 2 2003 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 917 Authors 92 Cariñena, José F. 52 de León Rodríguez, Manuel 42 Marmo, Giuseppe 37 Rañada, Manuel F. 36 Román-Roy, Narciso 35 de Lucas, Javier 23 Muñoz-Lecanda, Miguel C. 22 Martínez Fernández, Eduardo 22 Santander, Mariano 20 Martín de Diego, David 20 Sardón, Cristina 20 Sarlet, Willy 19 El-Nabulsi, Rami Ahmad 18 Senthilvelan, Murugaian 17 Gràcia, Xavier 15 Lakshmanan, Muthusamy 15 Sheng, Yunhe 14 del Olmo, Mariano A. 14 Guha, Partha 13 Marrero, Juan Carlos 13 Quesne, Christiane 12 Esen, Oğul 12 Rivas, Xavier 11 Chandrasekar, V. K. 11 Clemente-Gallardo, Jesús 11 Herranz, Francisco José 11 Ibort, Alberto 11 Vilariño, Silvia 10 Ciaglia, Florio Maria 10 Marquette, Ian 9 Ballesteros, Angel 9 Diacu, Florin Nicolae 9 Ghose Choudhury, Anindya 9 Grabowski, Janusz 9 Winternitz, Pavel 8 Campoamor-Stursberg, Rutwig 8 Di Cosmo, Fabio 8 Forger, Michael 8 Gaset, Jordi 8 Ibort, Luis Alberto 8 Liu, Jiefeng 8 Pérez-Chavela, Ernesto 8 Salgado, Modesto R. 7 Cantrijn, Frans 7 Colombo, Leonardo Jesus 7 Ebrahimi-Fard, Kurusch 7 Echeverría-Enríquez, Arturo 7 Gaeta, Giuseppe 7 Gao, Xing 7 Gracia-Bondía, José M. 7 Grandati, Yves 7 Laínz, Manuel 7 Mestdag, Tom 7 Negro, Javier 7 Rossi, Olga 7 Santos, Patrícia S. 7 Sardanashvily, Gennadi A. 7 Schulze-Halberg, Axel 6 Andrade, Jaime 6 Cahen, Benjamin 6 Crampin, Mike 6 Guedes, I. 6 Guo, Li 6 Plyushchay, Mikhail S. 6 Prieto-Martínez, Pedro Daniel 6 Ramos, Arturo 6 Ruby, V. Chithiika 6 Schiavone, Luca 6 Tibboel, Pieter 5 Blasco, Alfonso 5 Fernando, Sudarshan 5 Figueroa, Héctor 5 Gangopadhyaya, Asim 5 Grabowska, Katarzyna 5 Günaydin, Murat 5 Hussin, Véronique 5 López-Gordón, Asier 5 Nagiyev, Shakir M. 5 Nunes da Costa, Joana Margarida M. 5 Pons, Josep M. 5 Pradeep, R. Gladwin 5 Vaquero, Miguel 5 Vidal, Claudio 5 Zając, Marcin 5 Zhang, Yaozhong 4 Aniello, Paolo 4 Azizpour, Esmaeil 4 Bagchi, Bijan Kumar 4 Borisov, Alekseĭ Vladimirovich 4 Bougie, Jonathan 4 Cortés, Jorge 4 Escobar-Ruiz, Mauricio A. 4 Facchi, Paolo 4 Fernández C., David J. 4 Fernández-Núñez, José 4 Gadella, Manuel 4 García-Naranjo, Luis C. 4 Gomis, Joaquim 4 Grillo, Sergio Daniel 4 Grundland, Alfred Michel ...and 817 more Authors all top 5 Cited in 173 Serials 185 Journal of Mathematical Physics 73 International Journal of Geometric Methods in Modern Physics 61 Journal of Physics A: Mathematical and Theoretical 60 Journal of Geometry and Physics 31 International Journal of Theoretical Physics 27 Reports on Mathematical Physics 24 Journal of Geometric Mechanics 21 Physics Letters. 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Mathematical, Physical and Engineering Sciences 1 Computer Physics Communications 1 Linear and Multilinear Algebra 1 Transport Theory and Statistical Physics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory ...and 73 more Serials all top 5 Cited in 58 Fields 402 Mechanics of particles and systems (70-XX) 297 Quantum theory (81-XX) 245 Dynamical systems and ergodic theory (37-XX) 238 Differential geometry (53-XX) 172 Ordinary differential equations (34-XX) 109 Partial differential equations (35-XX) 103 Global analysis, analysis on manifolds (58-XX) 89 Nonassociative rings and algebras (17-XX) 63 Topological groups, Lie groups (22-XX) 46 Relativity and gravitational theory (83-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 27 Special functions (33-XX) 26 Associative rings and algebras (16-XX) 24 Numerical analysis (65-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Functional analysis (46-XX) 17 Optics, electromagnetic theory (78-XX) 13 Operator theory (47-XX) 11 Algebraic topology (55-XX) 11 Manifolds and cell complexes (57-XX) 10 Algebraic geometry (14-XX) 10 Fluid mechanics (76-XX) 9 Combinatorics (05-XX) 9 Group theory and generalizations (20-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Geometry (51-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Systems theory; control (93-XX) 6 Commutative algebra (13-XX) 6 Category theory; homological algebra (18-XX) 6 Real functions (26-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Number theory (11-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year