Edit Profile (opens in new tab) Bor, Gil Co-Author Distance Author ID: bor.gil Published as: Bor, Gil Homepage: http://personal.cimat.mx:8181/~gil/ External Links: MGP · Wikidata · ResearchGate Documents Indexed: 25 Publications since 1990, including 1 Additional arXiv Preprint Co-Authors: 18 Co-Authors with 24 Joint Publications 402 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Hernández-Lamoneda, Luis 7 Tabachnikov, Serge L. 4 Montgomery, Richard 3 Jackman, Connor 2 Levi, Mark L. 2 Nurowski, Paweł 1 Ardentov, Andrei A. 1 Bialy, Misha 1 Jacobowitz, Howard 1 Jiménez-Desantiago, Valentín 1 Le Donne, Enrico 1 Makhmali, Omid 1 Perline, Ron 1 Sachkov, Yuriĭ Leonidovich 1 Salvai, Marcos 1 Segert, Jan 1 Spivakovsky, Mark 1 Willse, Travis all top 5 Serials 3 Nonlinearity 2 Communications in Mathematical Physics 2 Geometriae Dedicata 2 Differential Geometry and its Applications 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 The Mathematical Intelligencer 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Miscelánea Matemática 1 Complex Analysis and its Synergies 1 Arnold Mathematical Journal 1 Communications of the American Mathematical Society all top 5 Fields 19 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 147 times in 125 Documents Cited by ▼ Year ▼ \(G_2\) and the rolling distribution. Zbl 1251.70008 Bor, Gil; Montgomery, Richard 26 2009 Tire tracks and integrable curve evolution. Zbl 1479.70036 Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei 19 2020 Yang-Mills fields which are not self-dual. Zbl 0764.53049 Bor, Gil 17 1992 The dancing metric, \(G_2\)-symmetry and projective rolling. Zbl 1387.53021 Bor, Gil; Hernández Lamoneda, Luis; Nurowski, Pawel 15 2018 Orthogonal almost-complex structures of minimal energy. Zbl 1130.53020 Bor, Gil; Hernández-Lamoneda, Luis; Salvai, Marcos 11 2007 Bochner formulae for orthogonal \(G\)-structures on compact manifolds. Zbl 1036.53015 Bor, Gil; Hernández Lamoneda, Luis 8 2001 \(SO(3)\) invariant Yang-Mills fields which are not self-dual. Zbl 0776.53018 Bor, Gil; Montgomery, Richard 8 1990 The canonical bundle of a Hermitian manifold. Zbl 0977.53063 Bor, Gil; Hernández-Lamoneda, Luis 8 1999 On the isometric conjecture of Banach. Zbl 1489.46013 Bor, Gil; Hernández Lamoneda, Luis; Jiménez-Desantiago, Valentín; Montejano, Luis 8 2021 Left-invariant CR structures on 3-dimensional Lie groups. Zbl 1495.32088 Bor, Gil; Jacobowitz, Howard 5 2021 A Bochner formula for almost-quaternionic-Hermitian structures. Zbl 1057.53033 Bor, Gil; Hernández Lamoneda, Luis 4 2004 Bicycle paths, elasticae and sub-Riemannian geometry. Zbl 1468.53029 Ardentov, Andrei; Bor, Gil; Le Donne, Enrico; Montgomery, Richard; Sachkov, Yuri 4 2021 Variations on the Tait-Kneser theorem. Zbl 1521.53001 Bor, Gil; Jackman, Connor; Tabachnikov, Serge 4 2021 Symmetric instantons and the ADHM construction. Zbl 0867.53024 Bor, Gil; Segert, Jan 2 1997 Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions. Zbl 1500.53032 Bor, Gil; Makhmali, Omid; Nurowski, Paweł 2 2022 On cusps of caustics by reflection: billiard variations on the four vertex theorem and on Jacobi’s last geometric statement. Zbl 1515.78004 Bor, Gil; Tabachnikov, Serge 2 2023 Self-Bäcklund curves in centroaffine geometry and Lamé’s equation. Zbl 07750993 Bialy, Misha; Bor, Gil; Tabachnikov, Serge 2 2022 Revisiting Kepler: new symmetries of an old problem. Zbl 1538.70014 Bor, Gil; Jackman, Connor 1 2023 Chains of path geometries on surfaces: theory and examples. Zbl 07940930 Bor, Gil; Willse, Travis 1 2024 Chains of path geometries on surfaces: theory and examples. Zbl 07940930 Bor, Gil; Willse, Travis 1 2024 On cusps of caustics by reflection: billiard variations on the four vertex theorem and on Jacobi’s last geometric statement. Zbl 1515.78004 Bor, Gil; Tabachnikov, Serge 2 2023 Revisiting Kepler: new symmetries of an old problem. Zbl 1538.70014 Bor, Gil; Jackman, Connor 1 2023 Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions. Zbl 1500.53032 Bor, Gil; Makhmali, Omid; Nurowski, Paweł 2 2022 Self-Bäcklund curves in centroaffine geometry and Lamé’s equation. Zbl 07750993 Bialy, Misha; Bor, Gil; Tabachnikov, Serge 2 2022 On the isometric conjecture of Banach. Zbl 1489.46013 Bor, Gil; Hernández Lamoneda, Luis; Jiménez-Desantiago, Valentín; Montejano, Luis 8 2021 Left-invariant CR structures on 3-dimensional Lie groups. Zbl 1495.32088 Bor, Gil; Jacobowitz, Howard 5 2021 Bicycle paths, elasticae and sub-Riemannian geometry. Zbl 1468.53029 Ardentov, Andrei; Bor, Gil; Le Donne, Enrico; Montgomery, Richard; Sachkov, Yuri 4 2021 Variations on the Tait-Kneser theorem. Zbl 1521.53001 Bor, Gil; Jackman, Connor; Tabachnikov, Serge 4 2021 Tire tracks and integrable curve evolution. Zbl 1479.70036 Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei 19 2020 The dancing metric, \(G_2\)-symmetry and projective rolling. Zbl 1387.53021 Bor, Gil; Hernández Lamoneda, Luis; Nurowski, Pawel 15 2018 \(G_2\) and the rolling distribution. Zbl 1251.70008 Bor, Gil; Montgomery, Richard 26 2009 Orthogonal almost-complex structures of minimal energy. Zbl 1130.53020 Bor, Gil; Hernández-Lamoneda, Luis; Salvai, Marcos 11 2007 A Bochner formula for almost-quaternionic-Hermitian structures. Zbl 1057.53033 Bor, Gil; Hernández Lamoneda, Luis 4 2004 Bochner formulae for orthogonal \(G\)-structures on compact manifolds. Zbl 1036.53015 Bor, Gil; Hernández Lamoneda, Luis 8 2001 The canonical bundle of a Hermitian manifold. Zbl 0977.53063 Bor, Gil; Hernández-Lamoneda, Luis 8 1999 Symmetric instantons and the ADHM construction. Zbl 0867.53024 Bor, Gil; Segert, Jan 2 1997 Yang-Mills fields which are not self-dual. Zbl 0764.53049 Bor, Gil 17 1992 \(SO(3)\) invariant Yang-Mills fields which are not self-dual. Zbl 0776.53018 Bor, Gil; Montgomery, Richard 8 1990 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 13 Bor, Gil 9 Tabachnikov, Serge L. 6 Chudecki, Adam 5 Rochera, David 4 Hernández-Lamoneda, Luis 4 Nurowski, Paweł 4 Willse, Travis 4 Yang, Yisong 3 Bialy, Misha 3 Davidov, Johann T. 3 Mushkarov, Oleg K. 3 Randall, Matthew 3 Segert, Jan 2 Ardentov, Andrei A. 2 Bracho, Javier 2 Cabrera, F. Martín 2 Chiossi, Simon G. 2 Cho, Joseph 2 Daurtseva, Nataliya Alexandrovna 2 Ehlers, Kurt M. 2 Fuchs, Dmitry Borisovich 2 Godoy Molina, Mauricio 2 González Dávila, José Carmelo 2 Gorkavyĭ, Vasyl A. 2 Grong, Erlend 2 Gursky, Matthew J. 2 Haller, Stefan 2 Ishikawa, Goo 2 Jackman, Connor 2 Jacobowitz, Howard 2 Jahnke, Max Reinhold 2 Kelleher, Casey Lynn 2 Kitagawa, Yumiko 2 Koiller, Jair 2 Manasliski, Richard Muñiz 2 Montejano Peimbert, Luis 2 Niedziałomski, Kamil 2 Sachkov, Yuriĭ Leonidovich 2 Sadun, Lorenzo A. 2 Sagerschnig, Katja 2 Salvai, Marcos 2 Streets, Jeffrey D. 2 Swann, Andrew F. 2 Ul Haq, Absar 2 Yang, Xiao-Kui 2 Yukuno, Wataru 2 Žádník, Vojtěch 1 Agrachev, Andreĭ Aleksandrovich 1 Agricola, Ilka 1 Ali, Sajid 1 An, Daniel 1 Andrada, Adrián 1 Arnold, Maxim 1 Arocha, Jorge Luis 1 Artemova, Elizaveta Markovna 1 Austin, Alex D. 1 Azad, Hassan 1 Baez, John C. 1 Baracco, Luca 1 Bazzoni, Giovanni 1 Bellini, Eugenio 1 Berge, Eirik 1 Bernardi, Olga 1 Biswas, Indranil 1 Bogfjellmo, Geir 1 Borisov, Alekseĭ Vladimirovich 1 Brozos-Vázquez, Miguel 1 Butruille, Jean-Baptiste 1 Cabello Sánchez, Félix 1 Ribeiro Castro, Alex Lúcio 1 Cavicchioli, Alberto 1 Chen, Shouxin 1 Cheng, Jih-Hsin 1 Chitour, Yacine 1 Dave, Shantanu 1 Del Barco, Viviana J. 1 Dunajski, Maciej 1 Dunne, Gerald V. 1 Etesi, Gábor 1 Feehan, Paul M. N. 1 Ferenczi, Valentin 1 Ferraris, Francisco 1 Fierobe, Corentin 1 Fino, Anna 1 Flood, Keegan J. 1 Fu, Jixiang 1 García-Río, Eduardo 1 Gashurenko, Darya 1 Ghanam, Ryad A. 1 Gilkey, Peter B. 1 Glutsyuk, Alexey A. 1 Goertsches, Oliver 1 Hammerl, Matthias 1 He, Weiyong 1 Hegenbarth, Friedrich 1 Hervella, Luis Maria 1 Hochgerner, Simon 1 Howard, Wyatt C. 1 Huerta, John 1 Isobe, Takeshi ...and 57 more Authors all top 5 Cited in 61 Serials 13 Journal of Geometry and Physics 8 Communications in Mathematical Physics 6 Differential Geometry and its Applications 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Nonlinearity 5 Transactions of the American Mathematical Society 4 Journal of Mathematical Physics 4 Mathematische Zeitschrift 4 Annals of Global Analysis and Geometry 2 Israel Journal of Mathematics 2 Nuclear Physics. B 2 The Mathematical Intelligencer 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Computer Aided Geometric Design 2 Journal of Symbolic Computation 2 The Journal of Geometric Analysis 2 Journal of Convex Analysis 2 Sbornik: Mathematics 2 Regular and Chaotic Dynamics 2 Arnold Mathematical Journal 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. B 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Automatica 1 Demonstratio Mathematica 1 Hokkaido Mathematical Journal 1 Journal of Algebra 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Note di Matematica 1 Physica D 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Aequationes Mathematicae 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Revista Matemática Complutense 1 Journal of Dynamical and Control Systems 1 Journal of High Energy Physics 1 Differential Equations 1 Moscow Mathematical Journal 1 Communications on Pure and Applied Analysis 1 Theoretical and Applied Mechanics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Mathematical Physics, Analysis, Geometry 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Journal of Computational Dynamics 1 Communications of the American Mathematical Society all top 5 Cited in 31 Fields 86 Differential geometry (53-XX) 36 Global analysis, analysis on manifolds (58-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Quantum theory (81-XX) 12 Mechanics of particles and systems (70-XX) 11 Convex and discrete geometry (52-XX) 7 Topological groups, Lie groups (22-XX) 7 Ordinary differential equations (34-XX) 6 Relativity and gravitational theory (83-XX) 5 Nonassociative rings and algebras (17-XX) 5 Functional analysis (46-XX) 4 Algebraic geometry (14-XX) 4 Partial differential equations (35-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-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 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-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.