Edit Profile (opens in new tab) Herrera, Rafael Co-Author Distance Author ID: herrera.rafael Published as: Herrera, Rafael; Herrera, R. External Links: MGP Documents Indexed: 46 Publications since 1997, including 4 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 5 Reviews Co-Authors: 24 Co-Authors with 40 Joint Publications 189 Co-Co-Authors all top 5 Co-Authors 5 single-authored 14 Herrera, Haydeé 5 Arizmendi, Gerardo 3 Dalmau, Oscar 3 Moreles, Miguel Angel 3 Oviedo, Harry 3 Santana, Noemi 2 Botello, Salvador 2 Carrillo, Ruben B. jun. 2 Chávez, A. E. 2 Esqueda, Humberto 2 Garcia-Pulido, Ana Lucia 2 Hernández-Lamoneda, Luis 2 Rincón, E. 2 Salamon, Simon Montague 2 Téllez Téllez, Iván 1 Cisneros, Jose Luis 1 Dearricott, Owen 1 Espinosa, Malors 1 Galaz-Garcia, Fernando 1 Hernández-Moguel, Luis Fernando 1 Hernández, Arturo 1 Hernández, Rosa María Salinas 1 Herrera, Edgar 1 Kennard, Lee 1 Manero, Octavio 1 Nagatomo, Yasuyuki 1 Nakad, Roger 1 Piccinni, Paolo 1 Quintero Vélez, Alexander 1 Searle, Catherine 1 Serrano, J. P. 1 Valero, Carlos 1 Weingart, Gregor 1 Ziller, Wolfgang all top 5 Serials 6 Journal of Geometry and Physics 4 Topology and its Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Geometriae Dedicata 2 Journal of Differential Geometry 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Annals of Global Analysis and Geometry 2 The Quarterly Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Lecture Notes in Mathematics 2 Complex Manifolds 1 Communications in Mathematical Physics 1 Nonlinearity 1 BIT 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Journal of Computational Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Applied Mathematical Modelling 1 Journal of Non-Newtonian Fluid Mechanics 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series all top 5 Fields 25 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 12 Manifolds and cell complexes (57-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 3 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 81 times in 47 Documents Cited by ▼ Year ▼ \(\hat A\)-genus on non-spin manifolds with \(S^ 1\) actions and the classification of positive quaternion-Kähler 12-manifolds. Zbl 1071.53027 Herrera, Haydeé; Herrera, Rafael 19 2002 Centralizers of spin subalgebras. Zbl 1417.17011 Arizmendi, Gerardo; Herrera, Rafael 7 2015 Almost even-Clifford Hermitian manifolds with a large automorphism group. Zbl 1347.53023 Arizmendi, Gerardo; Herrera, Rafael; Santana, Noemi 5 2016 A result on the \(\widehat A\) and elliptic genera on non-spin manifolds with circle actions. Zbl 1013.58012 Herrera, Haydeé; Herrera, Rafael 5 2002 A note on the geometry and topology of almost even-Clifford Hermitian manifolds. Zbl 1497.53047 Arizmendi, Gerardo; Garcia-Pulido, Ana L.; Herrera, Rafael 5 2018 The signature and the elliptic genus of \(\pi_{2}\)-finite manifolds with circle actions. Zbl 1039.57018 Herrera, Haydeé; Herrera, Rafael 4 2004 Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds. Zbl 1123.58012 Herrera, Rafael 3 2007 Spinorially twisted spin structures. I: Curvature identities and eigenvalue estimates. Zbl 1337.53058 Espinosa, Malors; Herrera, Rafael 3 2016 Rigidity and vanishing theorems for almost even-Clifford Hermitian manifolds. Zbl 1362.53038 Garcia-Pulido, Ana Lucia; Herrera, Rafael 3 2017 A hybrid gradient method for strictly convex quadratic programming. Zbl 07396243 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 3 2021 Two novel gradient methods with optimal step sizes. Zbl 1488.90134 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 3 2021 Rigidity and vanishing theorems for almost quaternionic manifolds. Zbl 1161.53028 Herrera, Haydeé; Herrera, Rafael 2 2008 Higher \(\hat A\)-genera on certain non-spin \(S^{1}\)-manifolds. Zbl 1194.58025 Herrera, Haydeé; Herrera, Rafael 2 2010 Rheological modelling of complex fluids: a transient network model with microstates. Zbl 1187.76610 Rincón, E.; Chávez, A. E.; Herrera, R.; Manero, O. 2 2005 Classification of positive quaternion-Kähler 12-manifolds. Zbl 1007.53037 Herrera, Haydeé; Herrera, Rafael 2 2002 Intersection numbers on moduli spaces and symmetries of a Verlinde formula. Zbl 0886.14014 Herrera, R.; Salamon, S. 2 1997 The elliptic genus on non-spin even 4-manifolds. Zbl 1112.58025 Herrera, Rafael 1 2007 Positive quaternion-Kähler 16-manifolds with \(b_2=0\). Zbl 1111.53034 Herrera, Rafael 1 2006 Verlinde-type formulae and twistor transform. Zbl 1060.14518 Herrera, Rafael 1 2000 Generalized elliptic genus and cobordism class of nonspin real Grassmannians. Zbl 1045.57016 Herrera, Haydeé; Herrera, Rafael 1 2003 A note on the relation between period and energy of periodic orbits near equilibrium points. Zbl 1050.34055 Herrera, Edgar; Herrera, Rafael 1 2003 Erratum to “\(\hat{A}\)-genus on non-spin manifolds with \(S^1\) actions and the classification of positive quaternion-Kähler 12-manifolds”. Zbl 1242.53052 Herrera, Haydeé; Herrera, Rafael 1 2012 Twisted partially pure spinors. Zbl 1341.15017 Herrera, Rafael; Tellez, Ivan 1 2016 Spin\(^{q}\) manifolds admitting parallel and Killing spinors. Zbl 1143.53045 Herrera, Haydeé; Herrera, Rafael 1 2007 Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles. Zbl 1432.53073 Herrera, Rafael; Santana, Noemi 1 2019 Hyperbolic model for bacterial movement through an orthotropic two-dimensional porous medium. Zbl 1432.92017 Hernández, R. M.; Rincón, E.; Herrera, R.; Chávez, A. E. 1 2015 An accelerated minimal gradient method with momentum for strictly convex quadratic optimization. Zbl 1491.90113 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 1 2022 Erratum to “The signature and the elliptic genus of \(\pi_2\)-finite manifolds with circle actions”. Zbl 1195.57061 Herrera, Haydeé; Herrera, Rafael 1 2010 An even Clifford diamond. Zbl 1452.53043 Arizmendi, Gerardo; Herrera, Rafael; Piccinni, Paolo 1 2020 A collection of efficient retractions for the symplectic Stiefel manifold. Zbl 1524.65224 Oviedo, H.; Herrera, R. 1 2023 Spinorially twisted spin structures. III: CR structures. Zbl 1408.53069 Herrera, Rafael; Nakad, Roger; Téllez, Iván 1 2018 A collection of efficient retractions for the symplectic Stiefel manifold. Zbl 1524.65224 Oviedo, H.; Herrera, R. 1 2023 An accelerated minimal gradient method with momentum for strictly convex quadratic optimization. Zbl 1491.90113 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 1 2022 A hybrid gradient method for strictly convex quadratic programming. Zbl 07396243 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 3 2021 Two novel gradient methods with optimal step sizes. Zbl 1488.90134 Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael 3 2021 An even Clifford diamond. Zbl 1452.53043 Arizmendi, Gerardo; Herrera, Rafael; Piccinni, Paolo 1 2020 Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles. Zbl 1432.53073 Herrera, Rafael; Santana, Noemi 1 2019 A note on the geometry and topology of almost even-Clifford Hermitian manifolds. Zbl 1497.53047 Arizmendi, Gerardo; Garcia-Pulido, Ana L.; Herrera, Rafael 5 2018 Spinorially twisted spin structures. III: CR structures. Zbl 1408.53069 Herrera, Rafael; Nakad, Roger; Téllez, Iván 1 2018 Rigidity and vanishing theorems for almost even-Clifford Hermitian manifolds. Zbl 1362.53038 Garcia-Pulido, Ana Lucia; Herrera, Rafael 3 2017 Almost even-Clifford Hermitian manifolds with a large automorphism group. Zbl 1347.53023 Arizmendi, Gerardo; Herrera, Rafael; Santana, Noemi 5 2016 Spinorially twisted spin structures. I: Curvature identities and eigenvalue estimates. Zbl 1337.53058 Espinosa, Malors; Herrera, Rafael 3 2016 Twisted partially pure spinors. Zbl 1341.15017 Herrera, Rafael; Tellez, Ivan 1 2016 Centralizers of spin subalgebras. Zbl 1417.17011 Arizmendi, Gerardo; Herrera, Rafael 7 2015 Hyperbolic model for bacterial movement through an orthotropic two-dimensional porous medium. Zbl 1432.92017 Hernández, R. M.; Rincón, E.; Herrera, R.; Chávez, A. E. 1 2015 Erratum to “\(\hat{A}\)-genus on non-spin manifolds with \(S^1\) actions and the classification of positive quaternion-Kähler 12-manifolds”. Zbl 1242.53052 Herrera, Haydeé; Herrera, Rafael 1 2012 Higher \(\hat A\)-genera on certain non-spin \(S^{1}\)-manifolds. Zbl 1194.58025 Herrera, Haydeé; Herrera, Rafael 2 2010 Erratum to “The signature and the elliptic genus of \(\pi_2\)-finite manifolds with circle actions”. Zbl 1195.57061 Herrera, Haydeé; Herrera, Rafael 1 2010 Rigidity and vanishing theorems for almost quaternionic manifolds. Zbl 1161.53028 Herrera, Haydeé; Herrera, Rafael 2 2008 Elliptic genera of level \(N\) on complex \(\pi_{2}\)-finite manifolds. Zbl 1123.58012 Herrera, Rafael 3 2007 The elliptic genus on non-spin even 4-manifolds. Zbl 1112.58025 Herrera, Rafael 1 2007 Spin\(^{q}\) manifolds admitting parallel and Killing spinors. Zbl 1143.53045 Herrera, Haydeé; Herrera, Rafael 1 2007 Positive quaternion-Kähler 16-manifolds with \(b_2=0\). Zbl 1111.53034 Herrera, Rafael 1 2006 Rheological modelling of complex fluids: a transient network model with microstates. Zbl 1187.76610 Rincón, E.; Chávez, A. E.; Herrera, R.; Manero, O. 2 2005 The signature and the elliptic genus of \(\pi_{2}\)-finite manifolds with circle actions. Zbl 1039.57018 Herrera, Haydeé; Herrera, Rafael 4 2004 Generalized elliptic genus and cobordism class of nonspin real Grassmannians. Zbl 1045.57016 Herrera, Haydeé; Herrera, Rafael 1 2003 A note on the relation between period and energy of periodic orbits near equilibrium points. Zbl 1050.34055 Herrera, Edgar; Herrera, Rafael 1 2003 \(\hat A\)-genus on non-spin manifolds with \(S^ 1\) actions and the classification of positive quaternion-Kähler 12-manifolds. Zbl 1071.53027 Herrera, Haydeé; Herrera, Rafael 19 2002 A result on the \(\widehat A\) and elliptic genera on non-spin manifolds with circle actions. Zbl 1013.58012 Herrera, Haydeé; Herrera, Rafael 5 2002 Classification of positive quaternion-Kähler 12-manifolds. Zbl 1007.53037 Herrera, Haydeé; Herrera, Rafael 2 2002 Verlinde-type formulae and twistor transform. Zbl 1060.14518 Herrera, Rafael 1 2000 Intersection numbers on moduli spaces and symmetries of a Verlinde formula. Zbl 0886.14014 Herrera, R.; Salamon, S. 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 46 Authors 19 Herrera, Rafael 7 Herrera, Haydeé 4 Arizmendi, Gerardo 3 Amann, Manuel 3 Dessai, Anand Naique 3 Jang, Donghoon 3 Kim, Jin Hong 3 Santana, Noemi 2 Lee, Hee Kwon 2 Oviedo, Harry 2 Téllez Téllez, Iván 1 Alexandrov, Bogdan 1 Andreani, Roberto 1 Botvinnik, Boris I. 1 Buczyński, Jarosław 1 Cortés, Vicente 1 Dalmau, Oscar 1 Dan, Ananyo 1 Espinosa, Malors 1 Fernández Rodríguez, Marisa 1 Garcia-Pulido, Ana Lucia 1 Hadfield, Charles 1 Hanke, Bernhard 1 Hernández-Moguel, Luis Fernando 1 Kapovitch, Vitali 1 Kaur, Inder 1 Lazaroiu, Calin Iuliu 1 Llibre, Jaume 1 Meier, Lennart 1 Moroianu, Andrei 1 Muñoz Velázquez, Vicente 1 Nakad, Roger 1 Piccinni, Paolo 1 Raydan, Marcos 1 Sánchez, Jonatan 1 Schick, Thomas 1 Semmelmann, Uwe 1 Shahbazi, Carlos S. 1 Tarţa, Alexandrina-Alina 1 Walsh, Mark G. 1 Wang, Jianbo 1 Wang, Yuyu 1 Weber, Andrzej 1 Weingart, Gregor 1 Wiśńiewski, Jarosław Antoni 1 Yu, Zhiwang all top 5 Cited in 26 Serials 8 Journal of Geometry and Physics 5 Topology and its Applications 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Mathematics 2 Annals of Global Analysis and Geometry 2 The Journal of Geometric Analysis 2 Acta Mathematica Sinica. English Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Manifolds 1 Israel Journal of Mathematics 1 BIT 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Numerical Algorithms 1 Computational and Applied Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China all top 5 Cited in 15 Fields 29 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 12 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) Citations by Year