Edit Profile (opens in new tab) Fernandes, Rui Loja Co-Author Distance Author ID: fernandes.rui-loja Published as: Fernandes, Rui Loja; Loja Fernandes, Rui; Fernandes, Rui L.; Fernandes, R. L.; Fernandes, Rui more...less External Links: MGP · Wikidata Documents Indexed: 49 Publications since 1993, including 2 Books 2 Contributions as Editor Reviewing Activity: 21 Reviews Co-Authors: 26 Co-Authors with 38 Joint Publications 533 Co-Co-Authors all top 5 Co-Authors 11 single-authored 9 Crainic, Marius 3 Brahic, Olivier 3 del Hoyo, Matías L. 3 Struchiner, Ivan 2 Damianou, Pantelis Andrea 2 Iglesias Ponte, David 2 Mǎrcuţ, Ioan 2 Oliva, Waldyr Muniz 2 Vanhaecke, Pol 1 Akinfiev, Teodor 1 Alekseev, Anton Yur’evich 1 Armada, A. 1 Bursztyn, Henrique 1 Caseiro, Raquel 1 Contreras, Iván A. 1 Duarte, Pedro 1 Frejlich, Pedro 1 Gouveia, Borges 1 Laurent-Gengoux, Camille 1 Martínez Torres, David 1 Meinrenken, Eckhard 1 Michiels, Daan 1 Monnier, Philippe 1 Ortega, Juan-Pablo 1 Pflaum, Markus J. 1 Picken, Roger F. 1 Pinho, Carlos T. 1 Ratiu, Tudor Stefan 1 Santos, João Paulo 1 Zhang, Yuxuan all top 5 Serials 3 Journal of Differential Geometry 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Annals of Mathematics. Second Series 2 São Paulo Journal of Mathematical Sciences 1 Communications in Mathematical Physics 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Differential Geometry and its Applications 1 Automation and Remote Control 1 European Journal of Operational Research 1 Journal of Physics A: Mathematical and General 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 European Mathematical Society Newsletter 1 The Journal of Symplectic Geometry 1 Oberwolfach Reports 1 Graduate Studies in Mathematics 1 AIP Conference Proceedings 1 Journal of Geometric Mechanics all top 5 Fields 36 Differential geometry (53-XX) 15 Topological groups, Lie groups (22-XX) 14 Global analysis, analysis on manifolds (58-XX) 9 Dynamical systems and ergodic theory (37-XX) 5 Nonassociative rings and algebras (17-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-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) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 777 times in 523 Documents Cited by ▼ Year ▼ Integrability of Lie brackets. Zbl 1037.22003Crainic, Marius; Fernandes, Rui Loja 188 2003 Lie algebroids, holonomy and characteristic classes. Zbl 1007.22007Fernandes, Rui Loja 109 2002 Integrability of Poisson brackets. Zbl 1066.53131Crainic, Marius; Fernandes, Rui Loja 84 2004 Lectures on integrability of Lie brackets. Zbl 1227.22005Crainic, Marius; Fernandes, Rui 41 2011 Connections in Poisson geometry. I: Holonomy and invariants. Zbl 1036.53060Fernandes, Rui Loja 40 2000 On the master symmetries and bi-Hamiltonian structure of the Toda lattice. Zbl 0811.58035Fernandes, Rui L. 28 1993 Riemannian metrics on Lie groupoids. Zbl 1385.53076del Hoyo, Matias; Fernandes, Rui Loja 25 2018 Secondary characteristic classes of Lie algebroids. Zbl 1068.22004Crainic, M.; Fernandes, R. L. 23 2005 Completely integrable bi-Hamiltonian systems. Zbl 0796.58020Fernandes, Rui L. 22 1994 The momentum map in Poisson geometry. Zbl 1180.53083Fernandes, Rui Loja; Ortega, Juan-Pablo; Ratiu, Tudor S. 17 2009 Poisson manifolds of compact types (PMCT 1). Zbl 1432.53116Crainic, Marius; Fernandes, Rui Loja; Martínez Torres, David 17 2019 From the Toda lattice to the Volterra lattice and back. Zbl 1038.37046Damianou, Pantelis A.; Loja Fernandes, Rui 17 2002 Hyperelliptic Prym varieties and integrable systems. Zbl 0991.37038Fernandes, Rui Loja; Vanhaecke, Pol 16 2001 Dynamics of the attractor in the Lotka-Volterra equations. Zbl 0912.34049Duarte, Pedro; Fernandes, Rui L.; Oliva, Waldyr M. 12 1998 Stability of symplectic leaves. Zbl 1197.53108Crainic, Marius; Fernandes, Rui Loja 11 2010 Integrable hierarchies and the modular class. Zbl 1147.53065Damianou, Pantelis A.; Fernandes, Rui Loja 10 2008 Poisson fibrations and fibered symplectic groupoids. Zbl 1158.53064Brahic, Olivier; Fernandes, Rui Loja 9 2008 The modular class of a Poisson map. (La classe modulaire d’une application de Poisson.) Zbl 1432.53115Caseiro, Raquel; Fernandes, Rui Loja 9 2013 Rigidity and flexibility in Poisson geometry. Zbl 1097.53053Crainic, Marius; Fernandes, Rui Loja 9 2005 Global action-angle variables for non-commutative integrable systems. Zbl 1435.37080Loja Fernandes, Rui; Laurent-Gengoux, Camille; Vanhaecke, Pol 8 2018 A geometric approach to Conn’s linearization theorem. Zbl 1229.53085Crainic, Marius; Fernandes, Rui Loja 8 2011 Integrability of Poisson-Lie group actions. Zbl 1183.53075Loja Fernandes, Rui; Iglesias Ponte, David 8 2009 Riemannian metrics on differentiable stacks. Zbl 1426.22003del Hoyo, Matias; Fernandes, Rui Loja 7 2019 Lectures on Poisson geometry. Zbl 07517376Crainic, Marius; Fernandes, Rui Loja; Mărcuţ, Ioan 7 2021 Lie algebroids and classification problems in geometry. Zbl 1173.22003Fernandes, Rui Loja; Struchiner, Ivan 6 2008 The classifying Lie algebroid of a geometric structure. I: Classes of coframes. Zbl 1285.53018Loja Fernandes, Rui; Struchiner, Ivan 6 2014 Invariants of Lie algebroids. Zbl 1027.22004Fernandes, Rui Loja 6 2003 Integration of coupling Dirac structures. Zbl 1327.53106Brahic, Olivier; Loja Fernandes, Rui 5 2015 An \(h\)-principle for symplectic foliations. Zbl 1245.53033Fernandes, Rui Loja; Frejlich, Pedro 5 2012 Integrability and reduction of Hamiltonian actions on Dirac manifolds. Zbl 1298.53082Brahic, Olivier; Loja Fernandes, Rui 4 2014 Linearization of Poisson brackets. Zbl 1066.53132Fernandes, Rui Loja; Monnier, Philippe 4 2004 A real options approach to labour shifts planning under different service level targets. Zbl 1317.90158Fernandes, Rui; Gouveia, Borges; Pinho, Carlos 3 2013 Picard groups of Poisson manifolds. Zbl 1392.53088Bursztyn, Henrique; Loja Fernandes, Rui 3 2018 The symplectization functor. Zbl 1229.53086Fernandes, Rui Loja 3 2007 Hamiltonian dynamics of the Lotka-Volterra equations. Zbl 0957.37024Loja Fernandes, Rui; Oliva, Waldyr Muniz 3 1998 On deformations of compact foliations. Zbl 1422.22006Del Hoyo, Matias; Loja Fernandes, Rui 2 2019 Associativity and integrability. Zbl 1454.58018Fernandes, Rui Loja; Michiels, Daan 2 2020 Integrability of the periodic KM system. Zbl 0904.58026Fernandes, Rui L.; Santos, João P. 2 1997 Control of the hop height of a one-legged resonance robot. Zbl 1163.93368Fernandes, R.; Akinfiev, T.; Armada, A. 1 2009 Multiplicative Ehresmann connections. Zbl 1516.58004Fernandes, Rui Loja; Mărcuţ, Ioan 1 2023 Multiplicative Ehresmann connections. Zbl 1516.58004Fernandes, Rui Loja; Mărcuţ, Ioan 1 2023 Lectures on Poisson geometry. Zbl 07517376Crainic, Marius; Fernandes, Rui Loja; Mărcuţ, Ioan 7 2021 Associativity and integrability. Zbl 1454.58018Fernandes, Rui Loja; Michiels, Daan 2 2020 Poisson manifolds of compact types (PMCT 1). Zbl 1432.53116Crainic, Marius; Fernandes, Rui Loja; Martínez Torres, David 17 2019 Riemannian metrics on differentiable stacks. Zbl 1426.22003del Hoyo, Matias; Fernandes, Rui Loja 7 2019 On deformations of compact foliations. Zbl 1422.22006Del Hoyo, Matias; Loja Fernandes, Rui 2 2019 Riemannian metrics on Lie groupoids. Zbl 1385.53076del Hoyo, Matias; Fernandes, Rui Loja 25 2018 Global action-angle variables for non-commutative integrable systems. Zbl 1435.37080Loja Fernandes, Rui; Laurent-Gengoux, Camille; Vanhaecke, Pol 8 2018 Picard groups of Poisson manifolds. Zbl 1392.53088Bursztyn, Henrique; Loja Fernandes, Rui 3 2018 Integration of coupling Dirac structures. Zbl 1327.53106Brahic, Olivier; Loja Fernandes, Rui 5 2015 The classifying Lie algebroid of a geometric structure. I: Classes of coframes. Zbl 1285.53018Loja Fernandes, Rui; Struchiner, Ivan 6 2014 Integrability and reduction of Hamiltonian actions on Dirac manifolds. Zbl 1298.53082Brahic, Olivier; Loja Fernandes, Rui 4 2014 The modular class of a Poisson map. (La classe modulaire d’une application de Poisson.) Zbl 1432.53115Caseiro, Raquel; Fernandes, Rui Loja 9 2013 A real options approach to labour shifts planning under different service level targets. Zbl 1317.90158Fernandes, Rui; Gouveia, Borges; Pinho, Carlos 3 2013 An \(h\)-principle for symplectic foliations. Zbl 1245.53033Fernandes, Rui Loja; Frejlich, Pedro 5 2012 Lectures on integrability of Lie brackets. Zbl 1227.22005Crainic, Marius; Fernandes, Rui 41 2011 A geometric approach to Conn’s linearization theorem. Zbl 1229.53085Crainic, Marius; Fernandes, Rui Loja 8 2011 Stability of symplectic leaves. Zbl 1197.53108Crainic, Marius; Fernandes, Rui Loja 11 2010 The momentum map in Poisson geometry. Zbl 1180.53083Fernandes, Rui Loja; Ortega, Juan-Pablo; Ratiu, Tudor S. 17 2009 Integrability of Poisson-Lie group actions. Zbl 1183.53075Loja Fernandes, Rui; Iglesias Ponte, David 8 2009 Control of the hop height of a one-legged resonance robot. Zbl 1163.93368Fernandes, R.; Akinfiev, T.; Armada, A. 1 2009 Integrable hierarchies and the modular class. Zbl 1147.53065Damianou, Pantelis A.; Fernandes, Rui Loja 10 2008 Poisson fibrations and fibered symplectic groupoids. Zbl 1158.53064Brahic, Olivier; Fernandes, Rui Loja 9 2008 Lie algebroids and classification problems in geometry. Zbl 1173.22003Fernandes, Rui Loja; Struchiner, Ivan 6 2008 The symplectization functor. Zbl 1229.53086Fernandes, Rui Loja 3 2007 Secondary characteristic classes of Lie algebroids. Zbl 1068.22004Crainic, M.; Fernandes, R. L. 23 2005 Rigidity and flexibility in Poisson geometry. Zbl 1097.53053Crainic, Marius; Fernandes, Rui Loja 9 2005 Integrability of Poisson brackets. Zbl 1066.53131Crainic, Marius; Fernandes, Rui Loja 84 2004 Linearization of Poisson brackets. Zbl 1066.53132Fernandes, Rui Loja; Monnier, Philippe 4 2004 Integrability of Lie brackets. Zbl 1037.22003Crainic, Marius; Fernandes, Rui Loja 188 2003 Invariants of Lie algebroids. Zbl 1027.22004Fernandes, Rui Loja 6 2003 Lie algebroids, holonomy and characteristic classes. Zbl 1007.22007Fernandes, Rui Loja 109 2002 From the Toda lattice to the Volterra lattice and back. Zbl 1038.37046Damianou, Pantelis A.; Loja Fernandes, Rui 17 2002 Hyperelliptic Prym varieties and integrable systems. Zbl 0991.37038Fernandes, Rui Loja; Vanhaecke, Pol 16 2001 Connections in Poisson geometry. I: Holonomy and invariants. Zbl 1036.53060Fernandes, Rui Loja 40 2000 Dynamics of the attractor in the Lotka-Volterra equations. Zbl 0912.34049Duarte, Pedro; Fernandes, Rui L.; Oliva, Waldyr M. 12 1998 Hamiltonian dynamics of the Lotka-Volterra equations. Zbl 0957.37024Loja Fernandes, Rui; Oliva, Waldyr Muniz 3 1998 Integrability of the periodic KM system. Zbl 0904.58026Fernandes, Rui L.; Santos, João P. 2 1997 Completely integrable bi-Hamiltonian systems. Zbl 0796.58020Fernandes, Rui L. 22 1994 On the master symmetries and bi-Hamiltonian structure of the Toda lattice. Zbl 0811.58035Fernandes, Rui L. 28 1993 all cited Publications top 5 cited Publications all top 5 Cited by 496 Authors 20 Fernandes, Rui Loja 14 Crainic, Marius 14 Damianou, Pantelis Andrea 13 Zambon, Marco 11 Bursztyn, Henrique 11 Laurent-Gengoux, Camille 10 Cabrera, Alejandro 10 Zhu, Chenchang 9 del Hoyo, Matías L. 9 Mǎrcuţ, Ioan 9 Miranda, Eva 9 Rañada, Manuel F. 8 Androulidakis, Iakovos 8 Boucetta, Mohamed 8 Cattaneo, Alberto Sergio 8 Meinrenken, Eckhard 8 Strobl, Thomas 7 Marrero, Juan Carlos 7 Martínez Torres, David 7 Vaisman, Izu 6 Caseiro, Raquel 6 Grabowski, Janusz 6 Gualtieri, Marco 6 Peyghan, Esmaeil 6 Sheng, Yunhe 6 Xu, Ping 5 Blaom, Anthony D. 5 Brahic, Olivier 5 Debord, Claire 5 Iglesias Ponte, David 5 Jotz Lean, Madeleine 5 Kubarski, Jan 5 Martín de Diego, David 5 Nistor, Victor 5 Popescu, Paul P. 5 Salazar, María Amelia 5 Stiénon, Mathieu 5 Struchiner, Ivan 5 Vorobiev, Yurii 5 Watamura, Satoshi 4 Alishah, Hassan Najafi 4 Bonechi, Francesco 4 Boualem, Hassan 4 Brouzet, Robert 4 Calvo, Iván 4 Ciccoli, Nicola 4 Duarte, Pedro 4 Falceto, Fernando 4 Frejlich, Pedro 4 Ikeda, Noriaki 4 Kotov, Alexei 4 Liu, Zhangju 4 Mehta, Rajan Amit 4 Moerdijk, Ieke 4 Ratiu, Tudor Stefan 4 Ruíz-Pantaleón, José Crispín 4 Sharapov, Alexey A. 4 Suárez-Serrato, Pablo 4 Vanhaecke, Pol 4 Velasco-Barreras, Eduardo 4 Wade, Aïssa 4 Weinstein, Alan David 3 Álvarez, Daniel 3 Arias Abad, Camilo 3 Balcerzak, Bogdan 3 Bischoff, Francis 3 Bruce, Andrew James 3 Burke, Matthew J. 3 Contreras, Iván A. 3 Cueca, Miquel 3 de León Rodríguez, Manuel 3 de Melo, Mateus 3 Dherin, Benoit 3 Esen, Oğul 3 Esposito, Chiara 3 Grabowska, Katarzyna 3 Guha, Partha 3 Hirota, Yuji 3 Hounkonnou, Mahouton Norbert 3 Ida, Cristian 3 Inoue, Rei 3 Jakimowicz, Grzegorz 3 Landalidji, Mahougnon Justin 3 Lang, Honglei 3 Langerock, Bavo 3 Lescure, Jean-Marie 3 Li, Songhao 3 Lyakhovich, Simon L. 3 Majid, Shahn 3 Marmo, Giuseppe 3 Martínez Fernández, Eduardo 3 Merati, S. 3 Monnier, Philippe 3 Mosman, Elena A. 3 Mrčun, Janez 3 Muraki, Hisayoshi 3 Nguyen Tien Zung 3 Nunes da Costa, Joana Margarida M. 3 Ortiz, Cristián 3 Peixe, Telmo ...and 396 more Authors all top 5 Cited in 133 Serials 61 Journal of Geometry and Physics 32 Letters in Mathematical Physics 21 Journal of Mathematical Physics 21 Advances in Mathematics 19 Differential Geometry and its Applications 18 Journal of Geometric Mechanics 16 Communications in Mathematical Physics 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 International Journal of Geometric Methods in Modern Physics 12 Journal für die Reine und Angewandte Mathematik 12 Indagationes Mathematicae. New Series 11 Transformation Groups 10 Journal of High Energy Physics 8 Annales de l’Institut Fourier 8 Transactions of the American Mathematical Society 7 Annals of Global Analysis and Geometry 6 Reviews in Mathematical Physics 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Bulletin des Sciences Mathématiques 5 Nuclear Physics. B 5 Proceedings of the American Mathematical Society 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Journal of Physics A: Mathematical and Theoretical 4 Classical and Quantum Gravity 4 Theoretical and Mathematical Physics 4 Journal of Functional Analysis 4 Pacific Journal of Mathematics 4 International Journal of Mathematics 4 Journal of Lie Theory 4 Regular and Chaotic Dynamics 4 Portugaliae Mathematica. Nova Série 4 Central European Journal of Mathematics 3 Reports on Mathematical Physics 3 Archivum Mathematicum 3 Compositio Mathematica 3 Monatshefte für Mathematik 3 Results in Mathematics 3 Topology and its Applications 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Nonlinear Mathematical Physics 3 Mediterranean Journal of Mathematics 3 São Paulo Journal of Mathematical Sciences 3 Journal of Dynamics and Games 2 Modern Physics Letters A 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. A 2 Fortschritte der Physik 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Functional Analysis and its Applications 2 Journal of the London Mathematical Society. Second Series 2 The Journal of Geometric Analysis 2 Selecta Mathematica. New Series 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Discrete and Continuous Dynamical Systems 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Dynamical Systems 2 Journal of Dynamical Systems and Geometric Theories 2 African Diaspora Journal of Mathematics 2 Journal of Noncommutative Geometry 1 International Journal of Modern Physics A 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Physics Letters. B 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis ...and 33 more Serials all top 5 Cited in 43 Fields 335 Differential geometry (53-XX) 161 Global analysis, analysis on manifolds (58-XX) 103 Topological groups, Lie groups (22-XX) 100 Dynamical systems and ergodic theory (37-XX) 78 Nonassociative rings and algebras (17-XX) 74 Mechanics of particles and systems (70-XX) 57 Quantum theory (81-XX) 41 Manifolds and cell complexes (57-XX) 33 Algebraic geometry (14-XX) 22 Category theory; homological algebra (18-XX) 22 Algebraic topology (55-XX) 20 Ordinary differential equations (34-XX) 20 Relativity and gravitational theory (83-XX) 14 Functional analysis (46-XX) 13 Partial differential equations (35-XX) 12 Associative rings and algebras (16-XX) 11 Group theory and generalizations (20-XX) 10 Several complex variables and analytic spaces (32-XX) 8 \(K\)-theory (19-XX) 7 Operator theory (47-XX) 5 Commutative algebra (13-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.