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## Kruglikov, Boris S.

Compute Distance To:
 Author ID: kruglikov.boris-s Published as: Kruglikov, B.; Kruglikov, B. S.; Kruglikov, Boris; Kruglikov, Boris S.
 Documents Indexed: 101 Publications since 1993, including 2 Books Reviewing Activity: 98 Reviews
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#### Co-Authors

 44 single-authored 15 Lychagin, Valentin V. 7 Winther, Henrik 6 Matveev, Vladimir S. 5 Ferapontov, Evgeny Vladimirovich 4 Doubrov, Boris M. 4 The, Dennis 3 Krasil’shchik, Iosif Semënovich 3 Morozov, Oleg I. 3 Novikov, Vladimir S. 3 Rypdal, Martin 2 Isaev, Alexander 2 Schneider, Eivind 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Anderson, Ian M. 1 Dunajski, Maciej 1 Eschenburg, Jost-Hinrich 1 Godoy Molina, Mauricio 1 Huru, Hilja Lisa 1 Lukes-Gerakopoulos, Georgios 1 Lychagina, Olga 1 Markina, Irina 1 Overholt, Marius 1 Panasyuk, Andriy 1 Roubtsov, Vladimir 1 Santi, Andrea 1 Straume, Eldar J. 1 Tomoda, Kentaro 1 Tribuzy, Renato 1 Vasilev, Alexander 1 Verbovetsky, Alexander Moiseevich 1 Vollmer, Andreas 1 Zalabová, Lenka
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#### Serials

 7 Journal of Geometry and Physics 7 Acta Applicandae Mathematicae 7 Differential Geometry and its Applications 4 Journal of Mathematical Physics 4 Annals of Global Analysis and Geometry 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Advances in Mathematics 3 International Journal of Mathematics 3 Lobachevskii Journal of Mathematics 2 The Journal of Geometric Analysis 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Classical and Quantum Gravity 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Functional Analysis and its Applications 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Russian Mathematics 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Transformation Groups 1 Doklady Mathematics 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Moscow Mathematical Journal 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Abel Symposia
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#### Fields

 48 Differential geometry (53-XX) 39 Global analysis, analysis on manifolds (58-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Partial differential equations (35-XX) 18 Several complex variables and analytic spaces (32-XX) 8 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 6 Mechanics of particles and systems (70-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

73 Publications have been cited 508 times in 289 Documents Cited by Year
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
The gap phenomenon in parabolic geometries. Zbl 1359.58019
Kruglikov, Boris; The, Dennis
2017
Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084
Ferapontov, Eugene V.; Kruglikov, Boris S.
2014
Point classification of second order ODEs: Tresse classification revisited and beyond. Zbl 1180.37029
Kruglikov, Boris
2009
On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058
Dunajski, M.; Ferapontov, E. V.; Kruglikov, B.
2015
Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm. Zbl 0967.32024
Kruglikov, B. S.
1999
Invariant characterization of Liouville metrics and polynomial integrals. Zbl 1145.53067
Kruglikov, Boris
2008
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Pseudoholomorphic mappings and Kobayashi hyperbolicity. Zbl 0954.32019
Kruglikov, Boris S.; Overholt, Marius
1999
Rank 2 distributions of Monge equations: symmetries, equivalences, extensions. Zbl 1234.34010
Anderson, Ian; Kruglikov, Boris
2011
Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations. Zbl 1378.17046
Kruglikov, Boris; Morozov, Oleg
2015
Finite-dimensionality in Tanaka theory. Zbl 1260.58001
Kruglikov, Boris
2011
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
The gap phenomenon in the dimension study of finite type systems. Zbl 1364.53018
Kruglikov, Boris
2012
The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064
2016
Non-existence of higher-dimensional pseudoholomorphic submanifolds. Zbl 1071.53012
Kruglikov, Boris S.
2003
Classification of Monge-Ampère equations with two variables. Zbl 0953.35011
Kruglikov, Boris
1999
Homogeneous almost complex structures in dimension 6 with semi-simple isotropy. Zbl 1306.53017
Alekseevsky, D. V.; Kruglikov, B. S.; Winther, H.
2014
Symplectic and contact Lie algebras with an application to Monge-Ampère equations. Zbl 1032.53067
Kruglikov, B. S.
1998
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
A piece-wise affine contracting map with positive entropy. Zbl 1108.37013
Kruglikov, Boris; Rypdal, Martin
2006
Submaximally symmetric CR-structures. Zbl 1354.32022
Kruglikov, Boris
2016
Symmetries of almost complex structures and pseudoholomorphic foliations. Zbl 1304.32016
Kruglikov, Boris
2014
SDiff(2) and uniqueness of the Plebański equation. Zbl 1330.37043
Kruglikov, Boris; Morozov, Oleg
2012
Lie theorem via rank 2 distributions (integration of PDE of class $$\omega = 1$$). Zbl 1255.35175
Kruglikov, Boris
2012
Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method. Zbl 1153.35365
Kruglikov, Boris
2008
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
Entropy via multiplicity. Zbl 1108.37014
Kruglikov, Boris; Rypdal, Martin
2006
Strictly non-proportional geodesically equivalent metrics have $$h_{\mathrm{top}}(g) = 0$$. Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings. Zbl 0933.32038
Kruglikov, B. S.
1998
Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds. Zbl 0919.58027
Kruglikov, B. S.
1997
On integrability of certain rank 2 sub-Riemannian structures. Zbl 1390.37096
Kruglikov, Boris S.; Vollmer, Andreas; Lukes-Gerakopoulos, Georgios
2017
Veronese webs and nonlinear PDEs. Zbl 1376.53026
Kruglikov, Boris; Panasyuk, Andriy
2017
Submaximally symmetric $$c$$-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
2016
On the models of submaximal symmetric rank 2 distributions in 5D. Zbl 1319.58003
Doubrov, Boris; Kruglikov, Boris
2014
Symmetries of filtered structures via filtered Lie equations. Zbl 1298.58006
Kruglikov, Boris
2014
Submaximal metric projective and metric affine structures. Zbl 1295.53012
2014
Involutivity of field equations. Zbl 1309.83016
Kruglikov, Boris
2010
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Rigidity of 2-step Carnot groups. Zbl 1441.17011
Godoy Molina, Mauricio; Kruglikov, Boris; Markina, Irina; Vasil’ev, Alexander
2018
Reconstruction from representations: Jacobi via cohomology. Zbl 1430.17059
Kruglikov, Boris; Winther, Henrik
2017
On the symmetry algebras of 5-dimensional CR-manifolds. Zbl 1378.32026
Isaev, Alexander; Kruglikov, Boris
2017
Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups. Zbl 1362.53039
Kruglikov, Boris S.; Winther, Henrik
2016
A short proof of the dimension conjecture for real hypersurfaces in $$\mathbb {C}^2$$. Zbl 1356.32013
Isaev, Alexander; Kruglikov, Boris
2016
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
Anomaly of linearization and auxiliary integrals. Zbl 1158.35308
Kruglikov, Boris
2008
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Finite dimensional dynamics for Kolmogorov-Petrovsky-Piskunov equation. Zbl 1116.35064
Kruglikov, Boris; Lychagina, Olga
2005
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Some classification problems in four-dimensional geometry: Distributions, almost complex structures, and generalized Monge-Ampère equations. Zbl 0946.53014
Kruglikov, B. S.
1998
Submaximally symmetric almost quaternionic structures. Zbl 1404.53065
Kruglikov, Boris; Winther, Henrik; Zalabová, Lenka
2018
On integrability in Grassmann geometries: integrable systems associated with fourfolds in $$\mathbf{Gr}(3,5)$$. Zbl 1404.37090
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
2018
On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091
Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S.
2017
A Bäcklund transformation between the four-dimensional Martínez Alonso-Shabat and Ferapontov-Khusnutdinova equations. Zbl 1353.37132
Kruglikov, B. S.; Morozov, O. I.
2016
Differential invariants and symmetry: Riemannian metrics and beyond. Zbl 1335.58014
Kruglikov, B.
2015
Laplace transformation of Lie class $$\omega = 1$$ overdetermined systems. Zbl 1243.35007
Kruglikov, Boris
2011
Tangent and normal bundles in almost complex geometry. Zbl 1127.53028
Kruglikov, Boris S.
2007
Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis. Zbl 1117.35053
Kruglikov, Boris
2006
Characteristic distributions on 4-dimensional almost complex manifolds. Zbl 1073.53043
Kruglikov, Boris S.
2004
Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm. Zbl 1041.32015
Kruglikov, Boris
2004
Examples of integrable sub-Riemannian geodesic flows. Zbl 1018.53016
Kruglikov, B.
2002
Non-existence of orthogonal complex structures on $$\mathbb{S}^6$$ with a metric close to the round one. Zbl 1387.32034
Kruglikov, Boris
2018
Differential invariants of self-dual conformal structures. Zbl 1360.53024
Kruglikov, Boris; Schneider, Eivind
2017
Conformal differential invariants. Zbl 1360.53023
Kruglikov, Boris
2017
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato
2010
Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002
Kruglikov, Boris (ed.); Lychagin, Valentin (ed.); Straume, Eldar (ed.)
2009
Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus. Zbl 0967.37013
Kruglikov, B. S.
1999
A remark on symplectic packings. Zbl 0898.58019
Kruglikov, B. S.
1996
Existence of a pair of additional Bott integrals for a resonance Hamiltonian system with two degrees freedom. Zbl 0995.37045
Kruglikov, B. S.
1994
On extension of a restriction of a symplectic form. Zbl 0853.53029
Kruglikov, B. S.
1993
Rigidity of 2-step Carnot groups. Zbl 1441.17011
Godoy Molina, Mauricio; Kruglikov, Boris; Markina, Irina; Vasil’ev, Alexander
2018
Submaximally symmetric almost quaternionic structures. Zbl 1404.53065
Kruglikov, Boris; Winther, Henrik; Zalabová, Lenka
2018
On integrability in Grassmann geometries: integrable systems associated with fourfolds in $$\mathbf{Gr}(3,5)$$. Zbl 1404.37090
Doubrov, Boris; Ferapontov, Evgeny V.; Kruglikov, Boris; Novikov, Vladimir S.
2018
Non-existence of orthogonal complex structures on $$\mathbb{S}^6$$ with a metric close to the round one. Zbl 1387.32034
Kruglikov, Boris
2018
The gap phenomenon in parabolic geometries. Zbl 1359.58019
Kruglikov, Boris; The, Dennis
2017
On integrability of certain rank 2 sub-Riemannian structures. Zbl 1390.37096
Kruglikov, Boris S.; Vollmer, Andreas; Lukes-Gerakopoulos, Georgios
2017
Veronese webs and nonlinear PDEs. Zbl 1376.53026
Kruglikov, Boris; Panasyuk, Andriy
2017
Reconstruction from representations: Jacobi via cohomology. Zbl 1430.17059
Kruglikov, Boris; Winther, Henrik
2017
On the symmetry algebras of 5-dimensional CR-manifolds. Zbl 1378.32026
Isaev, Alexander; Kruglikov, Boris
2017
On a class of integrable systems of Monge-Ampère type. Zbl 1371.35091
Doubrov, B.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V. S.
2017
Differential invariants of self-dual conformal structures. Zbl 1360.53024
Kruglikov, Boris; Schneider, Eivind
2017
Conformal differential invariants. Zbl 1360.53023
Kruglikov, Boris
2017
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta. Zbl 1350.37064
2016
Submaximally symmetric CR-structures. Zbl 1354.32022
Kruglikov, Boris
2016
Submaximally symmetric $$c$$-projective structures. Zbl 1336.32023
Kruglikov, Boris; Matveev, Vladimir; The, Dennis
2016
Almost complex structures in 6D with non-degenerate Nijenhuis tensors and large symmetry groups. Zbl 1362.53039
Kruglikov, Boris S.; Winther, Henrik
2016
A short proof of the dimension conjecture for real hypersurfaces in $$\mathbb {C}^2$$. Zbl 1356.32013
Isaev, Alexander; Kruglikov, Boris
2016
A Bäcklund transformation between the four-dimensional Martínez Alonso-Shabat and Ferapontov-Khusnutdinova equations. Zbl 1353.37132
Kruglikov, B. S.; Morozov, O. I.
2016
On the Einstein-Weyl and conformal self-duality equations. Zbl 1325.53058
Dunajski, M.; Ferapontov, E. V.; Kruglikov, B.
2015
Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations. Zbl 1378.17046
Kruglikov, Boris; Morozov, Oleg
2015
Differential invariants and symmetry: Riemannian metrics and beyond. Zbl 1335.58014
Kruglikov, B.
2015
Dispersionless integrable systems in 3D and Einstein-Weyl geometry. Zbl 1306.37084
Ferapontov, Eugene V.; Kruglikov, Boris S.
2014
Homogeneous almost complex structures in dimension 6 with semi-simple isotropy. Zbl 1306.53017
Alekseevsky, D. V.; Kruglikov, B. S.; Winther, H.
2014
Symmetries of almost complex structures and pseudoholomorphic foliations. Zbl 1304.32016
Kruglikov, Boris
2014
On the models of submaximal symmetric rank 2 distributions in 5D. Zbl 1319.58003
Doubrov, Boris; Kruglikov, Boris
2014
Symmetries of filtered structures via filtered Lie equations. Zbl 1298.58006
Kruglikov, Boris
2014
Submaximal metric projective and metric affine structures. Zbl 1295.53012
2014
The gap phenomenon in the dimension study of finite type systems. Zbl 1364.53018
Kruglikov, Boris
2012
SDiff(2) and uniqueness of the Plebański equation. Zbl 1330.37043
Kruglikov, Boris; Morozov, Oleg
2012
Lie theorem via rank 2 distributions (integration of PDE of class $$\omega = 1$$). Zbl 1255.35175
Kruglikov, Boris
2012
Rank 2 distributions of Monge equations: symmetries, equivalences, extensions. Zbl 1234.34010
Anderson, Ian; Kruglikov, Boris
2011
Finite-dimensionality in Tanaka theory. Zbl 1260.58001
Kruglikov, Boris
2011
Laplace transformation of Lie class $$\omega = 1$$ overdetermined systems. Zbl 1243.35007
Kruglikov, Boris
2011
Involutivity of field equations. Zbl 1309.83016
Kruglikov, Boris
2010
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
Compatibility of Gauß maps with metrics. Zbl 1186.53008
Eschenburg, Jost-Hinrich; Kruglikov, B. S.; Matveev, Vladimir S.; Tribuzy, Renato
2010
Point classification of second order ODEs: Tresse classification revisited and beyond. Zbl 1180.37029
Kruglikov, Boris
2009
Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002
Kruglikov, Boris (ed.); Lychagin, Valentin (ed.); Straume, Eldar (ed.)
2009
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
Invariant characterization of Liouville metrics and polynomial integrals. Zbl 1145.53067
Kruglikov, Boris
2008
Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method. Zbl 1153.35365
Kruglikov, Boris
2008
Anomaly of linearization and auxiliary integrals. Zbl 1158.35308
Kruglikov, Boris
2008
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Tangent and normal bundles in almost complex geometry. Zbl 1127.53028
Kruglikov, Boris S.
2007
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
A piece-wise affine contracting map with positive entropy. Zbl 1108.37013
Kruglikov, Boris; Rypdal, Martin
2006
Vanishing of the entropy pseudonorm for certain integrable systems. Zbl 1186.37067
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
Entropy via multiplicity. Zbl 1108.37014
Kruglikov, Boris; Rypdal, Martin
2006
Strictly non-proportional geodesically equivalent metrics have $$h_{\mathrm{top}}(g) = 0$$. Zbl 1094.53037
Kruglikov, Boris S.; Matveev, Vladimir S.
2006
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis. Zbl 1117.35053
Kruglikov, Boris
2006
Finite dimensional dynamics for Kolmogorov-Petrovsky-Piskunov equation. Zbl 1116.35064
Kruglikov, Boris; Lychagina, Olga
2005
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Characteristic distributions on 4-dimensional almost complex manifolds. Zbl 1073.53043
Kruglikov, Boris S.
2004
Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm. Zbl 1041.32015
Kruglikov, Boris
2004
Non-existence of higher-dimensional pseudoholomorphic submanifolds. Zbl 1071.53012
Kruglikov, Boris S.
2003
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Examples of integrable sub-Riemannian geodesic flows. Zbl 1018.53016
Kruglikov, B.
2002
Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm. Zbl 0967.32024
Kruglikov, B. S.
1999
Pseudoholomorphic mappings and Kobayashi hyperbolicity. Zbl 0954.32019
Kruglikov, Boris S.; Overholt, Marius
1999
Classification of Monge-Ampère equations with two variables. Zbl 0953.35011
Kruglikov, Boris
1999
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus. Zbl 0967.37013
Kruglikov, B. S.
1999
Symplectic and contact Lie algebras with an application to Monge-Ampère equations. Zbl 1032.53067
Kruglikov, B. S.
1998
Nijenhuis tensors and obstructions to constructing pseudoholomorphic mappings. Zbl 0933.32038
Kruglikov, B. S.
1998
Some classification problems in four-dimensional geometry: Distributions, almost complex structures, and generalized Monge-Ampère equations. Zbl 0946.53014
Kruglikov, B. S.
1998
Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds. Zbl 0919.58027
Kruglikov, B. S.
1997
A remark on symplectic packings. Zbl 0898.58019
Kruglikov, B. S.
1996
Existence of a pair of additional Bott integrals for a resonance Hamiltonian system with two degrees freedom. Zbl 0995.37045
Kruglikov, B. S.
1994
On extension of a restriction of a symplectic form. Zbl 0853.53029
Kruglikov, B. S.
1993
all top 5

#### Cited by 237 Authors

 58 Kruglikov, Boris S. 41 Lychagin, Valentin V. 20 Bibikov, Pavel Vitalievich 16 Matveev, Vladimir S. 12 Duyunova, Anna Andreevna 12 Morozov, Oleg I. 11 Tychkov, Sergey N. 8 Winther, Henrik 7 Kushner, Alexei G. 7 Sergyeyev, Artur 7 The, Dennis 6 Doubrov, Boris M. 6 Dunajski, Maciej 6 Manno, Gianni 6 Yumaguzhin, Valeriy A. 5 Ferapontov, Evgeny Vladimirovich 4 Bolsinov, Alexey V. 4 Goldberg, Vladislav V. 4 Konovenko, Nadiya G. 4 Krasil’shchik, Iosif Semënovich 4 Kryński, Wojciech 4 Lee, Kang-Hyurk 4 Valiquette, Francis 4 Vollmer, Andreas 4 Zalabová, Lenka 3 Bagderina, Yuliya Yur’evna 3 Gaussier, Hervé 3 Godoy Molina, Mauricio 3 Gregorovič, Jan 3 Haggui, Fathi 3 Ivashkovich, Sergej Mikhailovich 3 Markina, Irina 3 Olver, Peter John 3 Prykarpatsky, Anatoliy Karolevych 3 Prykarpatsky, Yarema Anatoliyovych 3 Schneider, Eivind 3 Sukhov, Alexandre B. 3 Vojčák, Petr 3 Zelenko, Igor 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Baran, Hynek 2 Bertrand, Florian 2 Blackmore, Denis L. 2 Blanc-Centi, Léa 2 Bogdanov, Leonid Vital’evich 2 Catsigeras, Eleonora 2 Chazelle, Bernard 2 Coupet, Bernard 2 De Vecchi, Francesco C. 2 Furutani, Kenro 2 Gover, Ashwin Rod 2 Guiraud, Pierre 2 Gutt, Jan 2 Hentosh, Oksana Ye. 2 Isaev, Alexander 2 Khalfallah, Adel 2 Kiosak, Volodymyr Anatolyevich 2 Kogan, Irina A. 2 Krivonosov, Leonid Nikolaevich 2 Luk’yanov, Vyacheslav Anatol’evich 2 Marvan, Michal 2 Medori, Costantino 2 Meyroneinc, Arnaud 2 Miranda, Eva 2 Morando, Paola 2 Moreno, Giovanni 2 Novikov, Vladimir S. 2 Nurowski, Paweł 2 Pavlov, Maxim V. 2 Rosay, Jean-Pierre 2 Salgado, Gil 2 Santi, Andrea 2 Shevchishin, Vsevolod V. 2 Tomoda, Kentaro 2 Vasilev, Alexander 2 Vinogradov, Aleksandr Mikhaĭlovich 2 Willse, Travis 1 Aadne, Matthew Terje 1 Agricola, Ilka 1 Alonso-Blanco, Ricardo J. 1 Anderson, Ian M. 1 Atiyah, Michael Francis 1 Banaru, Mikhail Borisovich 1 Bao, Jinrong 1 Bazzoni, Giovanni 1 Bekkers, Erik J. 1 Beloshapka, Valeriĭ K. 1 Beschastnyi, Ivan Yu. 1 Błaszak, Maciej 1 Borówka, Aleksandra W. 1 Bozzetti, Cristina 1 Bulatović, Ranislav M. 1 Buzzi, Jérôme 1 Byun, Jisoo 1 Capriotti, Santiago 1 Case, Jeffrey S. 1 Casey, Stephen D. 1 Ribeiro Castro, Alex Lúcio 1 Cessac, Bruno 1 Choi, Young-Jun ...and 137 more Authors
all top 5

#### Cited in 88 Serials

 42 Journal of Geometry and Physics 18 Differential Geometry and its Applications 16 Lobachevskii Journal of Mathematics 14 Acta Applicandae Mathematicae 11 The Journal of Geometric Analysis 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of Mathematical Physics 7 Russian Mathematics 7 Doklady Mathematics 7 Journal of Nonlinear Mathematical Physics 6 Journal of Mathematical Sciences (New York) 6 Analysis and Mathematical Physics 5 Communications in Mathematical Physics 5 Advances in Mathematics 5 Annales de l’Institut Fourier 5 Mathematische Zeitschrift 5 Annals of Global Analysis and Geometry 4 Journal of Mathematical Analysis and Applications 4 Letters in Mathematical Physics 4 Theoretical and Mathematical Physics 4 International Journal of Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Central European Journal of Mathematics 3 Functional Analysis and its Applications 3 Michigan Mathematical Journal 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Journal of Lie Theory 3 International Journal of Geometric Methods in Modern Physics 2 Classical and Quantum Gravity 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Mathematical Notes 2 Geometriae Dedicata 2 Mathematische Annalen 2 Selecta Mathematica. New Series 2 Nonlinear Dynamics 2 Regular and Chaotic Dynamics 2 Proceedings of the Steklov Institute of Mathematics 2 European Journal of Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Meccanica 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Computing 1 Tokyo Journal of Mathematics 1 Note di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Electronic Research Announcements of the American Mathematical Society 1 Transformation Groups 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Variables and Elliptic Equations 1 Chebyshevskiĭ Sbornik 1 Journal of Physics A: Mathematical and Theoretical 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Geometric Mechanics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Forum of Mathematics, Sigma 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 34 Fields

 149 Differential geometry (53-XX) 93 Global analysis, analysis on manifolds (58-XX) 78 Partial differential equations (35-XX) 69 Dynamical systems and ergodic theory (37-XX) 42 Several complex variables and analytic spaces (32-XX) 29 Ordinary differential equations (34-XX) 21 Nonassociative rings and algebras (17-XX) 21 Mechanics of particles and systems (70-XX) 19 Topological groups, Lie groups (22-XX) 15 Relativity and gravitational theory (83-XX) 13 Fluid mechanics (76-XX) 9 Algebraic geometry (14-XX) 6 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)