Edit Profile (opens in new tab) Perdomo, Oscar Mario Co-Author Distance Author ID: perdomo.oscar-mario Published as: Perdomo, Oscar; Perdomo, Oscar M.; Perdomo, Oscar Mario; Perdomo, Óscar; Perdomo, Óscar M.; Perdomo, O. more...less Documents Indexed: 68 Publications since 2001, including 14 Additional arXiv Preprints Co-Authors: 24 Co-Authors with 27 Joint Publications 251 Co-Co-Authors all top 5 Co-Authors 41 single-authored 4 Chaves Brasil Junior, Aldir 4 Rivera, Andrés M. 3 Alías, Luis J. 3 Castaneda, Nelson 3 Wei, Guoxin 2 Latour, Frédéric 2 López Camino, Rafael 2 Palmer, Bennett 1 Arango, Jaime 1 Arredondo, John Alexander 1 Cater, Carman 1 Johnson, David Lewis 1 Leyton-Ortega, Vicente 1 Mesa P., Héber 1 Montaño, Oscar Andrés 1 Nuñez, Daniel E. 1 Perdomo-Ortiz, Alejandro 1 Ratcliffe, Reilly 1 Salas, Nazly 1 Suárez, Johann 1 Tkachev, Vladimir G. 1 Valentine, Amanda 1 Vogeler, Roger 1 Wei, Fu-Shang all top 5 Serials 4 Pacific Journal of Mathematics 4 The Journal of Geometric Analysis 3 Journal of Geometry 3 Revista Colombiana de Matemáticas 3 The Asian Journal of Mathematics 3 Matemáticas: Enseñanza Universitaria (Nueva Serie) 2 Journal of Mathematical Analysis and Applications 2 Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Celestial Mechanics and Dynamical Astronomy 2 International Journal of Quantum Information 1 American Mathematical Monthly 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Revista de la Unión Matemática Argentina 1 Applied Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Boletín de Matemáticas. Nueva Serie 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 45 Differential geometry (53-XX) 11 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 191 times in 134 Documents Cited by ▼ Year ▼ First stability eigenvalue characterization of Clifford hypersurfaces. Zbl 1014.53036 Perdomo, Oscar 25 2002 Embedded constant mean curvature hypersurfaces on spheres. Zbl 1213.53080 Perdomo, Oscar M. 19 2010 Low index minimal hypersurfaces of spheres. Zbl 1028.53065 Perdomo, Oscar 16 2001 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030 Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 Rigidity of minimal hypersurfaces of spheres with two principal curvatures. Zbl 1062.53055 Perdomo, Oscar 14 2004 Minimal translation surfaces in Euclidean space. Zbl 1390.53061 López, Rafael; Perdomo, Óscar 11 2017 New examples of maximal space like surfaces in the anti-de Sitter space. Zbl 1163.83008 Perdomo, Oscar 9 2009 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions. Zbl 1464.34062 Nuñez, Daniel E.; Perdomo, O.; Rivera, Andrés 6 2019 Helicoidal minimal surfaces in \(\mathbb{R}^{3}\). Zbl 1294.53015 Perdomo, Oscar M. 6 2013 A dynamical interpretation of the profile curve of CMC twizzler surfaces. Zbl 1252.53007 Perdomo, Oscar M. 6 2012 On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index. Zbl 1076.53074 Perdomo, Oscar 5 2004 Rotating drops with helicoidal symmetry. Zbl 1327.53007 Palmer, Bennett; Perdomo, Oscar M. 4 2015 Morse theory for analytic functions on surfaces. Zbl 1092.58007 Arango, Jaime; Perdomo, Oscar 4 2005 Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres. Zbl 1456.53051 Perdomo, Oscar M. 4 2020 Algebraic constant mean curvature surfaces in Euclidean space. Zbl 1271.53006 Perdomo, Oscar M. 4 2013 \(n\)-dimensional area of minimal rotational hypersurfaces in spheres. Zbl 1327.53078 Perdomo, Oscar M.; Wei, Guoxin 3 2015 Algebraic CMC hypersurfaces of order 3 in Euclidean spaces. Zbl 1475.53072 Perdomo, Oscar; Tkachev, Vladimir G. 3 2019 Stable constant mean curvature hypersurfaces in the real projective space. Zbl 1111.53010 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 3 2006 CMC hypersurfaces on Riemannian and semi-Riemannian manifolds. Zbl 1250.53059 Perdomo, Oscar M. 3 2012 Characterization of order 3 algebraic immersed minimal surfaces of \(S^{3}\). Zbl 1137.53019 Perdomo, Oscar Mario 3 2007 Clifford 3-qubit states. Zbl 1441.81052 Perdomo, Oscar 3 2020 Equilibrium shapes of cylindrical rotating liquid drops. Zbl 1332.49043 Palmer, Bennett; Perdomo, Oscar M. 2 2015 Rotational surfaces in \(S^3\) with constant mean curvature. Zbl 1354.53072 Perdomo, Oscar M. 2 2016 Constant-speed ramps. Zbl 1317.53123 Perdomo, Oscar M. 2 2015 A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem. Zbl 1433.70020 Perdomo, Oscar M. 2 2018 Stability index jump for constant mean curvature hypersurfaces of spheres. Zbl 1259.53059 Perdomo, Oscar; Brasil, Aldir jun. 2 2012 Entanglement types for two-qubit states with real amplitudes. Zbl 1509.81101 Perdomo, Oscar; Leyton-Ortega, Vicente; Perdomo-Ortiz, Alejandro 2 2021 Non-existence of regular algebraic minimal surfaces of spheres of degree 3. Zbl 1101.53007 Perdomo, Oscar 1 2005 Embedded CMC hypersurfaces on hyperbolic spaces. Zbl 1245.53052 Perdomo, Oscar 1 2011 Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces. Zbl 1257.53091 Perdomo, Oscar M. 1 2011 On the flapping motion of a helicopter blade. Zbl 1443.76062 Perdomo, Oscar; Wei, Fu-Shang 1 2017 The round Taylor method. Zbl 1454.65049 Perdomo, Oscar M. 1 2019 Entanglement types for two-qubit states with real amplitudes. Zbl 1509.81101 Perdomo, Oscar; Leyton-Ortega, Vicente; Perdomo-Ortiz, Alejandro 2 2021 Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres. Zbl 1456.53051 Perdomo, Oscar M. 4 2020 Clifford 3-qubit states. Zbl 1441.81052 Perdomo, Oscar 3 2020 On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions. Zbl 1464.34062 Nuñez, Daniel E.; Perdomo, O.; Rivera, Andrés 6 2019 Algebraic CMC hypersurfaces of order 3 in Euclidean spaces. Zbl 1475.53072 Perdomo, Oscar; Tkachev, Vladimir G. 3 2019 The round Taylor method. Zbl 1454.65049 Perdomo, Oscar M. 1 2019 A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem. Zbl 1433.70020 Perdomo, Oscar M. 2 2018 Minimal translation surfaces in Euclidean space. Zbl 1390.53061 López, Rafael; Perdomo, Óscar 11 2017 On the flapping motion of a helicopter blade. Zbl 1443.76062 Perdomo, Oscar; Wei, Fu-Shang 1 2017 Rotational surfaces in \(S^3\) with constant mean curvature. Zbl 1354.53072 Perdomo, Oscar M. 2 2016 Rotating drops with helicoidal symmetry. Zbl 1327.53007 Palmer, Bennett; Perdomo, Oscar M. 4 2015 \(n\)-dimensional area of minimal rotational hypersurfaces in spheres. Zbl 1327.53078 Perdomo, Oscar M.; Wei, Guoxin 3 2015 Equilibrium shapes of cylindrical rotating liquid drops. Zbl 1332.49043 Palmer, Bennett; Perdomo, Oscar M. 2 2015 Constant-speed ramps. Zbl 1317.53123 Perdomo, Oscar M. 2 2015 Helicoidal minimal surfaces in \(\mathbb{R}^{3}\). Zbl 1294.53015 Perdomo, Oscar M. 6 2013 Algebraic constant mean curvature surfaces in Euclidean space. Zbl 1271.53006 Perdomo, Oscar M. 4 2013 A dynamical interpretation of the profile curve of CMC twizzler surfaces. Zbl 1252.53007 Perdomo, Oscar M. 6 2012 CMC hypersurfaces on Riemannian and semi-Riemannian manifolds. Zbl 1250.53059 Perdomo, Oscar M. 3 2012 Stability index jump for constant mean curvature hypersurfaces of spheres. Zbl 1259.53059 Perdomo, Oscar; Brasil, Aldir jun. 2 2012 Embedded CMC hypersurfaces on hyperbolic spaces. Zbl 1245.53052 Perdomo, Oscar 1 2011 Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces. Zbl 1257.53091 Perdomo, Oscar M. 1 2011 Embedded constant mean curvature hypersurfaces on spheres. Zbl 1213.53080 Perdomo, Oscar M. 19 2010 New examples of maximal space like surfaces in the anti-de Sitter space. Zbl 1163.83008 Perdomo, Oscar 9 2009 A characterization of quadric constant mean curvature hypersurfaces of spheres. Zbl 1151.53053 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 8 2008 On the stability index of hypersurfaces with constant mean curvature in spheres. Zbl 1157.53030 Alías, Luis J.; Brasil, Aldir jun.; Perdomo, Oscar 15 2007 Characterization of order 3 algebraic immersed minimal surfaces of \(S^{3}\). Zbl 1137.53019 Perdomo, Oscar Mario 3 2007 Stable constant mean curvature hypersurfaces in the real projective space. Zbl 1111.53010 Alías, Luis J.; Brasil, Aldir; Perdomo, Oscar 3 2006 Morse theory for analytic functions on surfaces. Zbl 1092.58007 Arango, Jaime; Perdomo, Oscar 4 2005 Non-existence of regular algebraic minimal surfaces of spheres of degree 3. Zbl 1101.53007 Perdomo, Oscar 1 2005 Rigidity of minimal hypersurfaces of spheres with two principal curvatures. Zbl 1062.53055 Perdomo, Oscar 14 2004 On the average of the scalar curvature of minimal hypersurfaces of spheres with low stability index. Zbl 1076.53074 Perdomo, Oscar 5 2004 First stability eigenvalue characterization of Clifford hypersurfaces. Zbl 1014.53036 Perdomo, Oscar 25 2002 Low index minimal hypersurfaces of spheres. Zbl 1028.53065 Perdomo, Oscar 16 2001 all cited Publications top 5 cited Publications all top 5 Cited by 149 Authors 20 Perdomo, Oscar Mario 15 de Lima, Henrique F. 11 Velásquez, Marco Antonio Lázaro 8 Dos Santos, Fábio Reis 8 Wei, Guoxin 7 Alías, Luis J. 5 Chaves Brasil Junior, Aldir 5 López Camino, Rafael 5 Meroño Bayo, Miguel Angel 5 Rivera, Andrés M. 4 Batista, Márcio 4 Ortiz, Irene 3 Aquino, Cicero Pedro 3 Gomes, José Nazareno Vieira 3 Hasanis, Thomas 3 Li, Haizhong 3 Meléndez, Josué 3 Pámpano, Álvaro 3 Pyo, Juncheol 3 Tkachev, Vladimir G. 2 Arredondo, John Alexander 2 Aydin, Muhittin Evren 2 Barboza, Weiller F. C. 2 Barros, Abdênago A. 2 Castaneda, Nelson 2 Cheng, Qingming 2 Cheng, Zhibo 2 Cunha, Antonio Wilson 2 de Lima, Eudes Leite 2 Deshmukh, Sharief 2 Kim, Daehwan 2 Montaldo, Stefano 2 Murcia, L. 2 Oniciuc, Cezar 2 Palmas, Oscar 2 Palmer, Bennett 2 Seo, Keomkyo 2 Turki, Nasser Bin 2 Vîlcu, Gabriel Eduard 2 Wang, Xianfeng 2 Wen, Guohua 1 Adauto, Diego 1 Albuquerque, Rui P. 1 Amster, Pablo 1 Arango, Jaime 1 Arroyo, Josu J. 1 Barreto, Alexandre Paiva 1 Belova, Olga O. 1 Beron, Juan 1 Branding, Volker 1 Brendle, Simon 1 Bunn, Emory F. 1 Camargo, Fernanda Ester Camillo 1 Camci, Çetin 1 Cañete, Antonio 1 Cao, Linfen 1 de Almeida Cavalcante, Marcos Petrúcio 1 Chang, Yu-Chung 1 Chaves, Rosa Maria Barreiro 1 Chen, Daguang 1 Chen, Hang 1 Chen, Jingwen 1 Contreras, Dagoberto 1 de Almeida, Sebastião Carneiro 1 de Lacerda, José H. H. 1 de Oliveira, Darlan Ferreira 1 Dos Santos, João Paulo 1 Du, Li 1 Esmaeili, Behzad 1 Espinar, José María 1 Fall, Mouhamed Moustapha 1 Filipan, Ivana 1 Fontenele, Francisco X. 1 Fukunaga, Tomonori 1 Garay, Oscar Jesus 1 García-Martínez, S. Carolina 1 Garnica, Eugenio 1 Ge, Jianquan 1 Gómez, Adriana 1 Grossi, Massimo 1 Gruber, Anthony 1 Haghighatdoost, Ghorbanali 1 Hartmann, Luiz 1 İlarslan, Kazim 1 Jow, Dylan L. 1 Kuhns, Chad 1 Kusner, Rob 1 Kuwert, Ernst Christoph 1 Larreal, O. 1 Latour, Frédéric 1 Leyton-Ortega, Vicente 1 Li, Fagui 1 Li, Tongzhu 1 Li, Wenjie 1 Li, Xueping 1 Lima, Barnabé Pessoa 1 Liu, Jiancheng 1 Liu, Qiuli 1 Lone, Mohamd Saleem 1 Lorenz, Johannes ...and 49 more Authors all top 5 Cited in 72 Serials 8 Journal of Mathematical Analysis and Applications 7 Proceedings of the American Mathematical Society 6 Results in Mathematics 6 The Journal of Geometric Analysis 5 Monatshefte für Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Differential Geometry and its Applications 5 Calculus of Variations and Partial Differential Equations 4 Journal of Geometry and Physics 3 Czechoslovak Mathematical Journal 3 Geometriae Dedicata 3 Journal of Geometry 3 Pacific Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mediterranean Journal of Mathematics 2 Annals of Global Analysis and Geometry 2 Celestial Mechanics and Dynamical Astronomy 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Anais da Academia Brasileira de Ciências 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tamkang Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Turkish Journal of Mathematics 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Vietnam Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Analysis (München) 1 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 Journal of Cosmology and Astroparticle Physics 1 Analysis and Applications (Singapore) 1 International Journal of Quantum Information 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 AIMS Mathematics all top 5 Cited in 21 Fields 113 Differential geometry (53-XX) 24 Global analysis, analysis on manifolds (58-XX) 11 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year