## Bucataru, Ioan

Compute Distance To:
 Author ID: bucataru.ioan Published as: Bucataru, Ioan; Bucataru, I.; Bucătaru, Ioan; Bucătaru, I. Homepage: http://www.math.uaic.ro/~bucataru/ External Links: MGP
 Documents Indexed: 60 Publications since 1996, including 1 Book Reviewing Activity: 81 Reviews Co-Authors: 19 Co-Authors with 45 Joint Publications 285 Co-Co-Authors
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### Co-Authors

 15 single-authored 8 Slawinski, Michael A. 7 Antonelli, Peter Louis 7 Dahl, Matias F. 6 Bóna, Andrej 6 Muzsnay, Zoltán 5 Constantinescu, Oana 4 Miron, Radu 3 Anastasiei, Mihai 3 Creţu, Georgeta 2 Bua, Lucía 2 Epstein, Marcelo 2 Salgado, Modesto R. 1 de León Rodríguez, Manuel 1 Fodor, Dan Gregorian 1 Milkovszki, Tamás 1 Roman, Marcel 1 Rutz, Solange F. 1 Taha, Ebtsam H. 1 Vilariño, Silvia
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### Serials

 5 Journal of Elasticity 4 Journal of Geometry and Physics 3 Publicationes Mathematicae 3 Differential Geometry and its Applications 3 Balkan Journal of Geometry and its Applications (BJGA) 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Reports on Mathematical Physics 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 The Journal of Geometric Analysis 2 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 2 Mediterranean Journal of Mathematics 2 Journal of Geometric Mechanics 1 Archives of Mechanics 1 Houston Journal of Mathematics 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Studii și Cercetări Matematice 1 Memoriile Secțiilor Științifice. Seria IV 1 International Journal of Mathematics 1 Algebras, Groups and Geometries 1 Nonlinear Studies 1 Mathematical Physics, Analysis and Geometry 1 Novi Sad Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Scientific Papers (Scientific Annals) of University of Agricultural Sciences and Veterinary Medicine. Faculty of Horticulture
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### Fields

 45 Differential geometry (53-XX) 27 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of particles and systems (70-XX) 10 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Ordinary differential equations (34-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Biology and other natural sciences (92-XX) 1 Partial differential equations (35-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 239 times in 147 Documents Cited by Year
Finsler-Lagrange geometry. Applications to dynamical systems. Zbl 1141.53070
2007
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
2003
Projective and Finsler metrizability: parameterization-rigidity of the geodesics. Zbl 1263.53070
Bucataru, Ioan; Muzsnay, Zoltán
2012
Coordinate-free characterization of the symmetry classes of elasticity tensors. Zbl 1151.74309
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2007
Space of $$SO(3)$$-orbits of elasticity tensors. Zbl 1162.74322
Bóna, A.; Bucataru, I.; Slawinski, M. A.
2008
Material symmetries of elasticity tensors. Zbl 1065.74007
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2004
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
2009
A geometric setting for systems of ordinary differential equations. Zbl 1286.34018
Bucataru, Ioan; Constantinescu, Oana; Dahl, Matias F.
2011
Generalized orthogonality between rays and wavefronts in anisotropic inhomogeneous media. Zbl 1124.74027
Bucataru, Ioan; Slawinski, Michael A.
2005
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
2001
Invariant properties for finding distance in space of elasticity tensors. Zbl 1160.74310
Bucataru, Ioan; Slawinski, Michael A.
2009
Metric nonlinear connections. Zbl 1125.53017
Bucataru, Ioan
2007
Projective metrizability and formal integrability. Zbl 1244.49072
Bucataru, Ioan; Muzsnay, Zoltán
2011
Characterization of elasticity-tensor symmetries using $$SU(2)$$. Zbl 1081.74005
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2004
Linear connections for systems of higher order differential equations. Zbl 1078.58005
Bucataru, Ioan
2005
A complete lift for semisprays. Zbl 1189.53038
Bucataru, Ioan; Dahl, Matias F.
2010
Sprays metrizable by Finsler functions of constant flag curvature. Zbl 1281.53074
Bucataru, Ioan; Muzsnay, Zoltán
2013
Canonical semisprays for higher-order Lagrange spaces. Zbl 1126.70013
Bucataru, Ioan
2007
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
2001
Finsler metrizable isotropic sprays and Hilbert’s fourth problem. Zbl 1307.53060
Bucataru, Ioan; Muzsnay, Zoltán
2014
Nonholonomic frames in Finsler geometry. Zbl 1031.53105
Bucătaru, Ioan
2002
The geometry of Lagrange spaces. Zbl 1105.53042
Miron, Radu; Anastasiei, Mihai; Bucataru, Ioan
2003
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
2001
A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces. Zbl 1278.53079
Bucataru, Ioan
2013
Continuous distributions of dislocations in bodies with microstructure. Zbl 1046.74004
Epstein, Marcelo; Bucataru, Ioan
2003
Symmetries, Newtonoid vector fields and conservation laws in the Langrangian $$k$$-symplectic formalism. Zbl 1321.53093
Bua, Lucía; Bucataru, Ioan; Salgado, Modesto
2012
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2001
Material symmetries versus wavefront symmetries. Zbl 1116.74032
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2007
Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations. Zbl 1200.58017
Bucataru, Ioan; Constantinescu, Oana
2010
The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. Zbl 1229.70044
2009
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami theorem. Zbl 1444.53049
Bucataru, Ioan; Creţu, Georgeta
2020
Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces. Zbl 1356.53021
Bucataru, Ioan; Milkovszki, Tamás; Muzsnay, Zoltán
2016
Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature. Zbl 1358.53079
Bucataru, Ioan
2016
Nonlinear connections for nonconservative mechanical systems. Zbl 1156.53047
2007
$$k$$-parameter geodesic variations. Zbl 1252.53048
Bucataru, Ioan; Dahl, Matias F.
2012
Generalized Helmholtz conditions for non-conservative Lagrangian systems. Zbl 1372.70045
Bucataru, Ioan; Constantinescu, Oana
2015
Horizontal lifts in the higher order geometry. Zbl 0992.53054
Bucataru, Ioan
2000
Sprays and homogeneous connections in the higher order geometry. Zbl 1017.53027
Bucătaru, Ioan
1998
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
2003
Geometrical theory of dislocations in bodies with microstructure. Zbl 1081.53026
Bucataru, Ioan; Epstein, Marcelo
2004
Symmetries in Lagrangian field theory. Zbl 1383.70018
Búa, Lucia; Bucataru, Ioan; de León, Manuel; Salgado, Modesto; Vilariño, Silvia
2015
A geometric space without conjugate points. Zbl 1222.53043
Bucataru, Ioan; Dahl, Matias F.
2010
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami theorem. Zbl 1444.53049
Bucataru, Ioan; Creţu, Georgeta
2020
Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces. Zbl 1356.53021
Bucataru, Ioan; Milkovszki, Tamás; Muzsnay, Zoltán
2016
Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature. Zbl 1358.53079
Bucataru, Ioan
2016
Generalized Helmholtz conditions for non-conservative Lagrangian systems. Zbl 1372.70045
Bucataru, Ioan; Constantinescu, Oana
2015
Symmetries in Lagrangian field theory. Zbl 1383.70018
Búa, Lucia; Bucataru, Ioan; de León, Manuel; Salgado, Modesto; Vilariño, Silvia
2015
Finsler metrizable isotropic sprays and Hilbert’s fourth problem. Zbl 1307.53060
Bucataru, Ioan; Muzsnay, Zoltán
2014
Sprays metrizable by Finsler functions of constant flag curvature. Zbl 1281.53074
Bucataru, Ioan; Muzsnay, Zoltán
2013
A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces. Zbl 1278.53079
Bucataru, Ioan
2013
Projective and Finsler metrizability: parameterization-rigidity of the geodesics. Zbl 1263.53070
Bucataru, Ioan; Muzsnay, Zoltán
2012
Symmetries, Newtonoid vector fields and conservation laws in the Langrangian $$k$$-symplectic formalism. Zbl 1321.53093
Bua, Lucía; Bucataru, Ioan; Salgado, Modesto
2012
$$k$$-parameter geodesic variations. Zbl 1252.53048
Bucataru, Ioan; Dahl, Matias F.
2012
A geometric setting for systems of ordinary differential equations. Zbl 1286.34018
Bucataru, Ioan; Constantinescu, Oana; Dahl, Matias F.
2011
Projective metrizability and formal integrability. Zbl 1244.49072
Bucataru, Ioan; Muzsnay, Zoltán
2011
A complete lift for semisprays. Zbl 1189.53038
Bucataru, Ioan; Dahl, Matias F.
2010
Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations. Zbl 1200.58017
Bucataru, Ioan; Constantinescu, Oana
2010
A geometric space without conjugate points. Zbl 1222.53043
Bucataru, Ioan; Dahl, Matias F.
2010
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
2009
Invariant properties for finding distance in space of elasticity tensors. Zbl 1160.74310
Bucataru, Ioan; Slawinski, Michael A.
2009
The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. Zbl 1229.70044
2009
Space of $$SO(3)$$-orbits of elasticity tensors. Zbl 1162.74322
Bóna, A.; Bucataru, I.; Slawinski, M. A.
2008
Finsler-Lagrange geometry. Applications to dynamical systems. Zbl 1141.53070
2007
Coordinate-free characterization of the symmetry classes of elasticity tensors. Zbl 1151.74309
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2007
Metric nonlinear connections. Zbl 1125.53017
Bucataru, Ioan
2007
Canonical semisprays for higher-order Lagrange spaces. Zbl 1126.70013
Bucataru, Ioan
2007
Material symmetries versus wavefront symmetries. Zbl 1116.74032
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2007
Nonlinear connections for nonconservative mechanical systems. Zbl 1156.53047
2007
Generalized orthogonality between rays and wavefronts in anisotropic inhomogeneous media. Zbl 1124.74027
Bucataru, Ioan; Slawinski, Michael A.
2005
Linear connections for systems of higher order differential equations. Zbl 1078.58005
Bucataru, Ioan
2005
Material symmetries of elasticity tensors. Zbl 1065.74007
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2004
Characterization of elasticity-tensor symmetries using $$SU(2)$$. Zbl 1081.74005
Bóna, Andrej; Bucataru, Ioan; Slawinski, Michael A.
2004
Geometrical theory of dislocations in bodies with microstructure. Zbl 1081.53026
Bucataru, Ioan; Epstein, Marcelo
2004
KCC theory of a system of second order differential equations. Zbl 1105.53017
Antonelli, P. L.; Bucataru, I.
2003
The geometry of Lagrange spaces. Zbl 1105.53042
Miron, Radu; Anastasiei, Mihai; Bucataru, Ioan
2003
Continuous distributions of dislocations in bodies with microstructure. Zbl 1046.74004
Epstein, Marcelo; Bucataru, Ioan
2003
Computer algebra and two and three dimensional Finsler geometry. Zbl 1026.53040
Antonelli, P. L.; Bucataru, I.; Rutz, S. F.
2003
Nonholonomic frames in Finsler geometry. Zbl 1031.53105
Bucătaru, Ioan
2002
Volterra-Hamilton production models with discounting: General theory and worked examples. Zbl 1048.90503
Antonelli, P. L.; Bucataru, I.
2001
New results about the geometric invariants in KCC-theory. Zbl 1066.53120
Antonelli, P. L.; Bucătaru, I.
2001
On Holland’s frame for Randers space and its applications in physics. Zbl 0985.53018
Antonelli, P. L.; Bucataru, I.
2001
Finsler connections in anholonomic geometry of a Kropina space. Zbl 0996.53019
Antonelli, P. L.; Bucataru, I.
2001
Horizontal lifts in the higher order geometry. Zbl 0992.53054
Bucataru, Ioan
2000
Sprays and homogeneous connections in the higher order geometry. Zbl 1017.53027
Bucătaru, Ioan
1998
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### Cited by 159 Authors

 22 Bucataru, Ioan 13 Yajima, Takahiro 9 Slawinski, Michael A. 7 Mestdag, Tom 7 Muzsnay, Zoltán 6 Crâşmăreanu, Mircea 6 Nagahama, Hiroyuki 6 Yamasaki, Kazuhito 5 Constantinescu, Oana 4 Desmorat, Boris 4 Kolev, Boris 4 Olive, Marc 4 Popescu, Paul P. 4 Suri, Ali 3 Bos, Len P. 3 Bua, Lucía 3 Crampin, Mike 3 Creţu, Georgeta 3 Dahl, Matias F. 3 Desmorat, Rodrigue 3 Guilleminot, Johann 3 Itin, Yakov 3 Kochetov, Mikhail Viktorovich 3 Pişcoran, Laurian-Ioan 3 Salgado, Modesto R. 3 Soize, Christian 2 Antonelli, Peter Louis 2 Auffray, Nicolas 2 Bóna, Andrej 2 Boskoff, Wladimir-Georges 2 Elgendi, Salah Gomaa 2 Epstein, Marcelo 2 Gallego Torromé, Ricardo 2 Harko, Tiberiu 2 Ida, Cristian 2 Javaloyes, Miguel Angel 2 Milkovszki, Tamás 2 Minguzzi, Ettore 2 Muñoz Masqué, Jaime 2 Rezaii, Morteza Mirmohammad 2 Rosado María, Eugenia 2 Rutz, Solange F. 2 Sánchez Caja, Miguel 2 Sarlet, Willy 2 Suceavă, Bogdan Dragos 2 Urban, Zbyněk 2 Wei, Zhouchao 2 Wright, Thomas W. 1 Abramian, S. 1 Ahangari, Fatemeh 1 Alipour-Fakhri, Yousof 1 Anastasiei, Mihai 1 Arcuş, Constantin M. 1 Atayi, Dordi Mohammad 1 Auffray, Nicole 1 Azizpour, Esmaeil 1 Balan, Vladimir 1 Bayrakdar, Tuna 1 Bayrakdar, Zahide Ok 1 Bejan, Cornelia-Livia 1 Bofill, Josep Maria 1 Böhmer, Christian G. 1 Bonnet, Guy 1 Bukusheva, Aliya V. 1 Carielo, M. S. 1 Chang, Zhe 1 Chowdappa, Chowdari Kondasandra 1 Ciucă, Marian G. 1 Dalton, David R. 1 Danek, Tomasz 1 Danila, Bogdan 1 de León Rodríguez, Manuel 1 de Saxcé, Géry 1 Derrien, Katell 1 Diner, Çağri 1 Drachal, Krzysztof 1 Druţă-Romaniuc, Simona-Luiza 1 Farré Puiggalí, M. 1 Fodor, Dan Gregorian 1 Fuster, Andrea 1 Galaev, Sergei Vasil’evich 1 Gilormini, Pierre 1 Gràcia, Xavier 1 Gratus, Jonathan 1 Grothaus, Martin 1 Grushevskaya, Halina V. 1 Hajdu, Sándor 1 He, Qichang 1 Heefer, Sjors 1 Hehl, Friedrich W. 1 Hirakui, Yuma 1 Hreţcanu, Cristina-Elena 1 Hrimiuc, Dragoş 1 Huang, Libing 1 Huang, Qiujian 1 Ishida, Muneyuki 1 Jangir, Sachin 1 Joharinad, Parvaneh 1 Kampalappa, Narasimhamurthy Senajji 1 Krupka, Demeter ...and 59 more Authors
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### Cited in 64 Serials

 18 Journal of Elasticity 14 International Journal of Geometric Methods in Modern Physics 10 Differential Geometry and its Applications 8 Journal of Geometry and Physics 8 Mediterranean Journal of Mathematics 7 Nonlinear Analysis. Real World Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Geometric Mechanics 3 Journal of Mathematical Physics 3 International Journal of Mathematics 3 Mathematics and Mechanics of Solids 2 Reports on Mathematical Physics 2 Czechoslovak Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 The Journal of Geometric Analysis 2 Continuum Mechanics and Thermodynamics 2 Turkish Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 DGDS. Differential Geometry – Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 International Journal of Solids and Structures 1 International Journal of Theoretical Physics 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Physics Letters. B 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Tensor. New Series 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Stochastic Processes and their Applications 1 Russian Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of Mathematical Chemistry 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Mathematical Physics, Analysis and Geometry 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Applied Sciences 1 Advances in Geometry 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Dynamical Systems and Geometric Theories 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Foundations of Physics 1 Journal of Physics A: Mathematical and Theoretical 1 International Electronic Journal of Geometry 1 Advances in High Energy Physics 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics 1 Chinese Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 29 Fields

 79 Differential geometry (53-XX) 37 Global analysis, analysis on manifolds (58-XX) 37 Mechanics of deformable solids (74-XX) 28 Mechanics of particles and systems (70-XX) 19 Ordinary differential equations (34-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Relativity and gravitational theory (83-XX) 7 Geophysics (86-XX) 5 Partial differential equations (35-XX) 4 Topological groups, Lie groups (22-XX) 4 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)