Journal articles
34 records
- 2026 Existence of Riemannian invariants for integrable systems of hydrodynamic type Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Physica D: Nonlinear Phenomena, published by Elsevier BV (Netherlands), vol. 495 ISTINA record doi
- 2026 Lax Pairs for BKM Hierarchy Konyaev Andrey Yu, Matveev Vladimir S. In: Studies in Applied Mathematics, published by Blackwell Publishing Inc. (United Kingdom), vol. 157, no. 3 ISTINA record doi
- 2026 On Operator Fields in an Upper Triangular Toeplitz Form Chernin M.M., Konyaev A.Yu In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 33, no. 1, pp. 42–55 ISTINA record doi
- 2026 Small Nijenhuis cohomology and their properties Kogan Evgenii Sergeevich, Konyaev Andrei Yur'evich In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 217, no. 6, pp. 34–50 ISTINA record doi
- 2025 Finite‐Dimensional Reductions and Finite‐Gap‐Type Solutions of Multicomponent Integrable PDEs Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Studies in Applied Mathematics, published by Blackwell Publishing Inc. (United Kingdom), vol. 155, no. 2 ISTINA record doi
- 2025 Integrability of the magnetic geodesic flow on the sphere with a constant 2-form Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: International Journal of Geometric Methods in Modern Physics, published by World Scientific Publishing Co (Singapore) DOI ISTINA record doi
- 2025 On the Jordan–Chevalley decomposition problem for operator fields in small dimensions and Tempesta–Tondo conjecture Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Journal of Geometry and Physics, published by Elsevier BV (Netherlands), vol. 218 ISTINA record doi
- 2024 Applications of Nijenhuis Geometry V: Geodesic Equivalence and Finite-Dimensional Reductions of Integrable Quasilinear Systems Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Journal of Nonlinear Science, published by Springer Verlag (Germany), vol. 34, no. 2 ISTINA record doi
- 2024 Geometry and Topology of Two-Dimensional Symplectic Manifolds with Generic Singularities and Hamiltonian Systems on Them Konyaev A.Yu, Kudryavtseva E.A., Sidelnikov V.I. In: Moscow University Mathematics Bulletin, published by Allerton Press Inc. (United States), vol. 79, no. 5, pp. 230–243 ISTINA record doi
- 2024 Geometry and topology of two-dimensional symplectic manifolds with generic singularities and Hamiltonian systems on them Konyaev A.Yu., Kudryavtseva E.A., Sidelnikov V.I. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 5, pp. 22–33 ISTINA record doi
- 2024 Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Nonlinearity, published by IOP Publishing ([Bristol, UK], England), vol. 37, no. 10, pp. 105003–105003 ISTINA record doi
- 2024 Nijenhuis operators with a unity and F$F$‐manifolds Antonov Evgenii I., Konyaev Andrey Yu In: Journal of the London Mathematical Society, published by Oxford University Press (United Kingdom), vol. 110, no. 3 ISTINA record doi
- 2024 On the Linearization of Certain Singularities of Nijenhuis Operators Konyaev A.Yu In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 31, no. 1, pp. 106–111 ISTINA record doi
- 2024 Orthogonal separation of variables for spaces of constant curvature Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Forum Mathematicum, published by Walter de Gruyter GmbH & Co. KG (Germany), vol. 1, no. 1 ISTINA record doi
- 2023 Applications of Nijenhuis Geometry III: Frobenius Pencils and Compatible Non-homogeneous Poisson Structures Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Journal of Geometric Analysis, published by Springer Nature (Switzerland), vol. 33, no. 6 ISTINA record doi
- 2023 Applications of Nijenhuis geometry IV: Multicomponent KdV and Camassa–Holm equations Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Dynamics of Partial Differential Equations, published by International Press (United States), vol. 20, no. 1, pp. 73–98 ISTINA record doi
- 2023 Nijenhuis geometry III: gl-regular Nijenhuis operators Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Revista Matematica Iberoamericana, published by Universidad Autonoma de Madrid (Spain) DOI ISTINA record doi
- 2023 Symmetric matrices and maximal Nijenhuis pencils Konyaev Andrey Yurievich In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 214, no. 8, pp. 53–62 ISTINA record doi
- 2023 When a (1,1)-tensor generates separation of variables of a certain metric Konyaev Andrey Yu, Kress Jonathan M., Matveev Vladimir S. In: Journal of Geometry and Physics, published by Elsevier BV (Netherlands) DOI ISTINA record doi
- 2022 Geometry of Inhomogeneous Poisson Brackets, Multicomponent Harry Dym Hierarchies, and Multicomponent Hunter–Saxton Equations Konyaev A.Y. In: Russian Journal of Mathematical Physics, published by Pleiades Publishing, Ltd (Road Town, United Kingdom), vol. 29, pp. 518–541 ISTINA record doi
- 2021 Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type Konyaev A.Yu., Bolsinov A.V., Matveev V.S. In: Nonlinearity, published by IOP Publishing ([Bristol, UK], England), vol. 34, no. 8, pp. 5136–5162 ISTINA record
- 2021 Applications of Nijenhuis geometry: non-degenerate singular points of Poisson–Nijenhuis structures Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: European Journal of Mathematics, published by Springer Nature (Switzerland) DOI ISTINA record doi
- 2021 Nijenhuis geometry Bolsinov Alexey V., Konyaev Andrey Yu, Matveev Vladimir S. In: Advances in Mathematics, published by Academic Press (United States) DOI ISTINA record doi
- 2021 Nijenhuis geometry II: Left-symmetric algebras and linearization problem for Nijenhuis operators Konyaev Andrey Yu In: Differential Geometry and its Applications, published by Elsevier BV (Netherlands), vol. 74 ISTINA record doi
- 2020 Completeness of commutative Sokolov–Odessky subalgebras and Nijenhuis operators on gl(n) Konyaev A.Yu. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 4, no. 211, pp. 583–593 ISTINA record
- 2018 Completeness of some commutative subalgebras associated with Nijenhuis operators on Lie algebras Andrey Konyaev In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 479, no. 3, pp. 247–249 ISTINA record
- 2015 Geometry, dynamics and different types of orbits Fomenko A.T., Konyaev A.Y. In: Journal of Fixed Point Theory and its Applications, vol. 15, no. 49, pp. 49–66 ISTINA record doi
- 2014 Classification of Lie algebras with generic coadjoint representation orbits of dimension 2 Konyaev A.Yu. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 205, no. 1, pp. 47–66 ISTINA record
- 2012 New approach to symmetries and singularities in integrable Hamiltonian systems Fomenko A., Konyaev A.Y. In: Topology and its Applications, published by Elsevier BV (Netherlands), vol. 159, no. 7, pp. 1964–1975 ISTINA record doi
- 2011 Algebraic and geometric properties of quadratic Hamiltonians defined by sectional operators Bolsinov A.V., Konyaev A.Yu. In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 90, no. 5, pp. 689–702 ISTINA record doi
- 2011 Uniqueness of recovery of parameters of sectional operators on simple complex Lie algebras Konyaev Andrey Yurievich In: Mathematical Notes, published by Steklov Mathematical Institute (Moscow), vol. 90, no. 3, pp. 384–393 ISTINA record doi
- 2010 Bifurcation diagram and discriminant of the spectral curve of integrable systems on Lie algebras Konyaev A.Yu. In: Sbornik: Mathematics (Matematicheskii Sbornik), published by Steklov Mathematical Institute (Moscow), vol. 201, no. 9, pp. 27–60 ISTINA record doi
- 2008 Bifurcation diagram and discriminant of integrable systems of rigid body type on the Lie algebras so(2n + 1), sp(2n) and sl(n) Konyaev A.Yu. In: Doklady Mathematics, published by Nauka Publishing House (Moscow), vol. 421, no. 1, pp. 18–20 ISTINA record
- 2006 Bending of curves on a plane by flows of incompressible fluid Konyaev A.Yu. In: Moscow University Mathematics Bulletin, published by Moscow University Press (Moscow), no. 5, pp. 55–57 ISTINA record
Book chapters and collected papers
3 records
- 2018 Survey of the Deformation Quantization of Commutative Families Sharygin G.I., Konyaev A.Yu. In: Recent Developments in Integrated Systems and Related Topics of Mathematical Physics, (Kezenoi-Am, Russia, 2016), eds. Buchstaber, Victor M., Konstantinou-Rizos, Sotiris, Mikhailov, Alexander V., Springer, Berlin, 2018, Springer Proceedings in Mathematics & Statistics series, Springer Berlin (Heidelberg, Germany), vol. 273 ISTINA record
- 2014 Algebra and Geometry Through Hamiltonian Systems Fomenko A.T., Konyaev A.Yu In Continuous and Distributed Systems, Solid Mechanics and Its Applications series, Springer Switzerland, vol. 211, p. 3-21 ISTINA record
- 2012 Algebra and topology of integrable systems. Research problems Bolsinov A.V., Izosimov A.M., Konyaev A.Yu., Oshemkov A.A. In: Proceedings of the Seminar on Vector and Tensor Analysis with their applications to geometry, mechanics and physics, published in Moscow University Publishing House Moscow, vol. 28, p. 119-191 ISTINA record
Conference talks
5 records
- 2026 Nijenhuis geometry and integrable billiards: the case of a flat (pseudo)metric Kibkalo V.A., Konyaev A.Yu. Voronezh Winter Mathematical School named after S.G. Krein, January 24-27, 2026, Voronezh, Russia, January 24-27, 2026
- 2025 Billiards and families of quadrics associated with integrable geodesic flows for geodesically equivalent metrics Kibkalo V.A., Konyaev A.Yu. 064w: Regular and chaotic dynamics, Sirius, Russia, October 27-31, 2025
- 2025 Integrable billiards and not only confocal quadrics Kibkalo V.A., Konyaev A.Yu. IX International Youth Scientific School-Conference “Current directions of mathematical analysis and related issues”, Voronezh, Russia, November 10-11, 2025
- 2025 Integrable billiards, projectively equivalent (pseudo)metrics and Nijenhuis geometry Kibkalo V.A., Konyaev A.Yu VIII INTERNATIONAL CONFERENCE Topological methods in dynamics and related topics December 11-13, 2025, Nizhny Novgorod, Russia, December 11-13, 2025
- 2017 Singular points of Nijenhuis opaerators Konyaev A.Yu. 4th Conference on Finite Dimensional Integrated Systems in Geometry and Mathematical Physics (FDIS2017), Barcelona, Spain, January 3-8, 2018