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Trofimov, Valeriĭ Vladimirovich

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Author ID: trofimov.valery-vladimirovich Recent zbMATH articles by "Trofimov, Valeriĭ Vladimirovich"
Published as: Trofimov, V. V.; Trofimov, Valerii V.; Trofimov, Valerij V.
External Links: MGP · Math-Net.Ru
Documents Indexed: 66 Publications since 1976, including 4 Books
1 Contribution as Editor
Biographic References: 4 Publications
Co-Authors: 10 Co-Authors with 17 Joint Publications
563 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 186 times in 129 Documents Cited by Year
Algebra and geometry of integrable Hamiltonian differential equations. (Алгебра и геометрия интегрируемых гамильтоновых дифференциальных уравнений.) Zbl 0858.58026
Trofimov, V. V.; Fomenko, A. T.
41
1995
Non-invariant symplectic group structures and Hamiltonian flows on symmetric spaces. Zbl 0659.58018
Trofimov, V. V.; Fomenko, A. T.
16
1988
Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121
Trofimov, V. V.; Shamolin, M. V.
15
2012
Liouville integrability of Hamiltonian systems on Lie algebras. Zbl 0549.58024
Trofimov, V. V.; Fomenko, A. T.
14
1984
Introduction to the geometry of manifolds with symmetries. (Vvedenie v geometriyu mnogoobrazij s simmetriyami.) Zbl 0705.53002
Trofimov, V. V.
11
1989
Euler equations on finite-dimensional solvable Lie groups. Zbl 0451.22008
Trofimov, V. V.
10
1980
Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras. Zbl 0797.58006
Trofimov, V. V.; Fomenko, A. T.
9
1994
Introduction to geometry of manifolds with symmetry. Zbl 0804.53002
Trofimov, V. V.
8
1994
Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems. Zbl 0521.58031
Trofimov, V. V.; Fomenko, A. T.
7
1983
A method for constructing Hamiltonian flows on symmetric spaces and the integrability of some hydrodynamical systems. Zbl 0484.58017
Trofimov, V. V.; Fomenko, A. T.
5
1980
Semi-invariants of a co-adjoint representation of Borel subalgebras of simple Lie algebras. Zbl 0659.17009
Trofimov, V. V.
5
1989
Integrable systems on Lie algebras and symmetric spaces. Transl. from the Russian by A. Karaulov, P. D. Rayfield and A. Weisman. 2nd printing. Zbl 0742.58001
Fomenko, A. T.; Trofimov, V. V.
3
1989
Symplectic structures on groups of automorphisms of symmetric spaces. Zbl 0594.58004
Trofimov, V. V.
3
1984
An imbedding of finite groups by regular elements into compact Lie groups. Zbl 0433.22009
Trofimov, V. V.
3
1979
Geometry of Poisson brackets and methods of Liouville integration of systems on symmetric spaces. Zbl 0664.58013
Trofimov, V. V.; Fomenko, A. T.
3
1987
Symplectic connections, Maslov index, and Fomenko’s conjecture. Zbl 0687.58009
Trofimov, V. V.
3
1989
Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality. Zbl 0509.58025
Trofimov, V. V.
2
1982
Group non-invariant symplectic structures and Hamiltonian flows on symmetric spaces. Zbl 0521.58030
Trofimov, V. V.; Fomenko, A. T.
2
1983
Extensions of Lie algebras and Hamiltonian systems. Zbl 0547.58024
Trofimov, V. V.
2
1983
Connections of absolute parallelism on a symplectic manifold. Zbl 0808.53035
Trofimov, V. V.
2
1993
The Maslov index of Lagrangian submanifolds of symplectic manifolds. Zbl 0808.53036
Trofimov, V. V.
2
1988
Symplectic connections and Maslov-Arnold characteristic classes. Zbl 0780.57017
Trofimov, V. V.
1
1991
A flat pseudo-Riemannian structure on the tangent bundle of a flat manifold. Zbl 0778.53019
Trofimov, V. V.
1
1992
A group-theoretic interpretation of some classes of equations of classical mechanics. Zbl 0583.70012
Trofimov, V. V.
1
1984
Planar symmetric spaces with non-compact groups of motions and Hamiltonian systems. Zbl 0604.58030
Trofimov, V. V.
1
1985
Deformations of integrable systems. Zbl 0632.58029
Trofimov, V. V.
1
1986
Finite subgroups of compact Lie groups and maximal exponents of Lie algebras. Zbl 0989.22013
Trofimov, V. V.
1
2000
Riemannian geometry. Zbl 1032.53029
Trofimov, V. V.; Fomenko, A. T.
1
2002
Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection. Zbl 0737.53036
Trofimov, V. V.
1
1991
On the Fomenko hypothesis for totally geodesic submanifolds in symplectic manifolds with the almost Kählerian metric. Zbl 0738.57012
Trofimov, V. V.
1
1988
Euler equations on Borel subalgebras of semisimple Lie algebras. Zbl 0437.58011
Trofimov, V. V.
1
1980
Tensor and vector analysis. Geometry, mechanics and physics. Zbl 0913.00022
1
1998
The relative symplectic volume on orbits of a coadjoint representation of simple Lie groups. Zbl 0842.58036
Trofimov, V. V.
1
1993
Semi-invariants of the co-adjoint representation of the Borel subalgebras of simple Lie algebras. Zbl 0521.17004
Trofimov, V. V.
1
1983
Connections on manifolds and new characteristic classes. Zbl 0732.58018
Trofimov, Valerij V.
1
1991
The space of paths and generalized Maslov classes of Lagrange submanifolds. Zbl 0792.58016
Trofimov, V. V.
1
1992
Maslov index in pseudo-Riemannian geometry. Zbl 0818.57015
Trofimov, V. V.
1
1991
Generalized Maslov indices and cobordisms. Zbl 0967.37501
Trofimov, V. V.
1
1991
The pseudo-Euclidean structure of the index zero on the tangent bundle of a flat manifold. Zbl 0818.53084
Trofimov, V. V.
1
1992
On geometric properties of a complete involute family of functions on a symplectic manifold. Zbl 0850.46025
Trofimov, V. V.
1
1989
Imbeddings of finite groups by regular elements in compact Lie groups. Zbl 0337.22011
Trofimov, V. V.
1
1976
Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. Zbl 1353.37121
Trofimov, V. V.; Shamolin, M. V.
15
2012
Riemannian geometry. Zbl 1032.53029
Trofimov, V. V.; Fomenko, A. T.
1
2002
Finite subgroups of compact Lie groups and maximal exponents of Lie algebras. Zbl 0989.22013
Trofimov, V. V.
1
2000
Tensor and vector analysis. Geometry, mechanics and physics. Zbl 0913.00022
1
1998
Algebra and geometry of integrable Hamiltonian differential equations. (Алгебра и геометрия интегрируемых гамильтоновых дифференциальных уравнений.) Zbl 0858.58026
Trofimov, V. V.; Fomenko, A. T.
41
1995
Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras. Zbl 0797.58006
Trofimov, V. V.; Fomenko, A. T.
9
1994
Introduction to geometry of manifolds with symmetry. Zbl 0804.53002
Trofimov, V. V.
8
1994
Connections of absolute parallelism on a symplectic manifold. Zbl 0808.53035
Trofimov, V. V.
2
1993
The relative symplectic volume on orbits of a coadjoint representation of simple Lie groups. Zbl 0842.58036
Trofimov, V. V.
1
1993
A flat pseudo-Riemannian structure on the tangent bundle of a flat manifold. Zbl 0778.53019
Trofimov, V. V.
1
1992
The space of paths and generalized Maslov classes of Lagrange submanifolds. Zbl 0792.58016
Trofimov, V. V.
1
1992
The pseudo-Euclidean structure of the index zero on the tangent bundle of a flat manifold. Zbl 0818.53084
Trofimov, V. V.
1
1992
Symplectic connections and Maslov-Arnold characteristic classes. Zbl 0780.57017
Trofimov, V. V.
1
1991
Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection. Zbl 0737.53036
Trofimov, V. V.
1
1991
Connections on manifolds and new characteristic classes. Zbl 0732.58018
Trofimov, Valerij V.
1
1991
Maslov index in pseudo-Riemannian geometry. Zbl 0818.57015
Trofimov, V. V.
1
1991
Generalized Maslov indices and cobordisms. Zbl 0967.37501
Trofimov, V. V.
1
1991
Introduction to the geometry of manifolds with symmetries. (Vvedenie v geometriyu mnogoobrazij s simmetriyami.) Zbl 0705.53002
Trofimov, V. V.
11
1989
Semi-invariants of a co-adjoint representation of Borel subalgebras of simple Lie algebras. Zbl 0659.17009
Trofimov, V. V.
5
1989
Integrable systems on Lie algebras and symmetric spaces. Transl. from the Russian by A. Karaulov, P. D. Rayfield and A. Weisman. 2nd printing. Zbl 0742.58001
Fomenko, A. T.; Trofimov, V. V.
3
1989
Symplectic connections, Maslov index, and Fomenko’s conjecture. Zbl 0687.58009
Trofimov, V. V.
3
1989
On geometric properties of a complete involute family of functions on a symplectic manifold. Zbl 0850.46025
Trofimov, V. V.
1
1989
Non-invariant symplectic group structures and Hamiltonian flows on symmetric spaces. Zbl 0659.58018
Trofimov, V. V.; Fomenko, A. T.
16
1988
The Maslov index of Lagrangian submanifolds of symplectic manifolds. Zbl 0808.53036
Trofimov, V. V.
2
1988
On the Fomenko hypothesis for totally geodesic submanifolds in symplectic manifolds with the almost Kählerian metric. Zbl 0738.57012
Trofimov, V. V.
1
1988
Geometry of Poisson brackets and methods of Liouville integration of systems on symmetric spaces. Zbl 0664.58013
Trofimov, V. V.; Fomenko, A. T.
3
1987
Deformations of integrable systems. Zbl 0632.58029
Trofimov, V. V.
1
1986
Planar symmetric spaces with non-compact groups of motions and Hamiltonian systems. Zbl 0604.58030
Trofimov, V. V.
1
1985
Liouville integrability of Hamiltonian systems on Lie algebras. Zbl 0549.58024
Trofimov, V. V.; Fomenko, A. T.
14
1984
Symplectic structures on groups of automorphisms of symmetric spaces. Zbl 0594.58004
Trofimov, V. V.
3
1984
A group-theoretic interpretation of some classes of equations of classical mechanics. Zbl 0583.70012
Trofimov, V. V.
1
1984
Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems. Zbl 0521.58031
Trofimov, V. V.; Fomenko, A. T.
7
1983
Group non-invariant symplectic structures and Hamiltonian flows on symmetric spaces. Zbl 0521.58030
Trofimov, V. V.; Fomenko, A. T.
2
1983
Extensions of Lie algebras and Hamiltonian systems. Zbl 0547.58024
Trofimov, V. V.
2
1983
Semi-invariants of the co-adjoint representation of the Borel subalgebras of simple Lie algebras. Zbl 0521.17004
Trofimov, V. V.
1
1983
Completely integrable geodesic flows of left-invariant metrics on Lie groups which are connected with commutative graded algebras with Poincaré duality. Zbl 0509.58025
Trofimov, V. V.
2
1982
Euler equations on finite-dimensional solvable Lie groups. Zbl 0451.22008
Trofimov, V. V.
10
1980
A method for constructing Hamiltonian flows on symmetric spaces and the integrability of some hydrodynamical systems. Zbl 0484.58017
Trofimov, V. V.; Fomenko, A. T.
5
1980
Euler equations on Borel subalgebras of semisimple Lie algebras. Zbl 0437.58011
Trofimov, V. V.
1
1980
An imbedding of finite groups by regular elements into compact Lie groups. Zbl 0433.22009
Trofimov, V. V.
3
1979
Imbeddings of finite groups by regular elements in compact Lie groups. Zbl 0337.22011
Trofimov, V. V.
1
1976
all top 5

Cited by 103 Authors

25 Shamolin, Maksim Vladimirovich
8 Fomenko, Anatoliĭ Timofeevich
6 Konyaev, Andreĭ Yu.
6 Koreshkov, Nikolai A.
5 Dragović, Vladimir
5 Gajić, Borislav
5 Trofimov, Valeriĭ Vladimirovich
4 Dobrogowska, Alina
3 Bolsinov, Alexey V.
3 Campoamor-Stursberg, Rutwig
3 Jovanović, Božidar Žarko
3 Pidzhakova, Lyubov’ Mikhaĭlovna
3 Popov, Sasho Ivanov
3 Ratiu, Tudor Stefan
3 Strelcyn, Jean-Marie
2 Akbarzadeh, Rasoul
2 Bloch, Anthony Michael
2 Chacon, Rafael V. S.
2 Derkach, M. M.
2 Goryunov, Victor V.
2 Haghighatdoost, Ghorbanali
2 Izosimov, A. M.
2 Llibre, Jaume
2 Marsden, Jerrold Eldon
2 Musso, Emilio
2 Odzijewicz, Anatol
1 Alber, Mark S.
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Arkhipov, Alexander M.
1 Ayoubi, Rezvaneh
1 Balandin, Alexander V.
1 Bordemann, Martin
1 Brînzănescu, Vasile
1 Buzzi, Claudio Aguinaldo
1 Carroll, Robert Wayne
1 Cherkashin, V. P.
1 Crouch, Peter E.
1 Dall’Acqua, Anna
1 Emel’yanova, I. S.
1 Fedoseev, Denis A.
1 Fiala, Zdeněk
1 Furta, Stanislav D.
1 Galaev, Sergei Vasil’evich
1 Gay-Balmaz, François
1 Georgievskiĭ, Dmitriĭ Vladimirovich
1 Glazkov, D. Yu.
1 Goliński, Tomasz
1 Gorbatsevich, Vladimir Vital’evich
1 Grant, James D. E.
1 Gutkin, Eugene
1 Hamburger, Christoph
1 Huckleberry, Alan Trinler
1 Ignatenko, V. F.
1 Iliev, Atanas Iliev
1 Iserles, Arieh
1 Ivanova, Tatiana A.
1 Izosimov, Anton
1 Jakimowicz, Grzegorz
1 Kantonistova, Elena O.
1 Kashcheeva, O. N.
1 Khimshiashvili, Giorgi
1 Kocsard, Alejandro
1 Kozlov, Ivan Konstantinovich
1 Kulish, Petr Petrovich
1 Lompert, Konrad
1 Luther, Gregory G.
1 Ma, Tian
1 Magazev, Alexey Anatolevich
1 Manturov, Vassiliĭ Olegovich
1 Mirzoyan, V. A.
1 Mishachev, K. N.
1 Ovando, Gabriela P.
1 Panasyuk, Andriy
1 Pazim, Rubens
1 Puninskiĭ, E. G.
1 Ranestad, Kristian
1 Reggiani, Silvio
1 Rerikh, K. V.
1 Respondek, Witold
1 Reyman, Alexey G.
1 Robbins, Jonathan M.
1 Sadètov, S. T.
1 Sharko, Volodymyr Vasil’ovych
1 Shchepetilov, Alexey V.
1 Shirokov, Igor’ Viktorovich
1 Silva Leite, Fátima
1 Skrypnyk, Taras Volodymyrovych
1 Smolentsev, Nicolai Konstantinovich
1 Šukilović, Tijana
1 Tarama, Daisuke
1 Ten, A. S.
1 Thiffeault, Jean-Luc
1 Tsyganov, Andreĭ Vladimirovich
1 Tsonev, D. M.
1 Vinberg, Èrnest Borisovich
1 Vorontsov, A. S.
1 Wang, Shouhong
1 Wurzbacher, Tilman
1 Yakimova, Oksana S.
1 Yu, Jiang
...and 3 more Authors
all top 5

Cited in 47 Serials

31 Journal of Mathematical Sciences (New York)
8 Mathematical Notes
8 Doklady Mathematics
6 Moscow University Mathematics Bulletin
6 Russian Mathematics
5 Journal of Geometry and Physics
5 Journal of Soviet Mathematics
5 Physica D
4 Communications in Mathematical Physics
4 Regular and Chaotic Dynamics
3 Advances in Mathematics
3 Acta Applicandae Mathematicae
2 Journal of Mathematical Physics
2 Reports on Mathematical Physics
2 Theoretical and Mathematical Physics
2 Functional Analysis and its Applications
2 Siberian Mathematical Journal
2 Differential Geometry and its Applications
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Moscow University Mechanics Bulletin
1 Physics Letters. A
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Differential Equations
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Annals of Global Analysis and Geometry
1 MCSS. Mathematics of Control, Signals, and Systems
1 Computational Mathematics and Modeling
1 Annals of Physics
1 Algebra Colloquium
1 St. Petersburg Mathematical Journal
1 Journal of Lie Theory
1 Sbornik: Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Differential Equations
1 Dynamical Systems
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Fixed Point Theory and Applications
1 Journal of Geometric Mechanics
1 Arnold Mathematical Journal
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya

Citations by Year