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## Smolentsev, Nicolai Konstantinovich

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 Author ID: smolentsev.n-k Published as: Smolentsev, N. K. External Links: Math-Net.Ru
 Documents Indexed: 35 Publications since 1979, including 2 Books Reviewing Activity: 292 Reviews

#### Co-Authors

 33 single-authored 2 Daurtseva, N. A.
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#### Serials

 14 Siberian Mathematical Journal 6 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Journal of Mathematical Sciences (New York) 2 Russian Mathematics 2 Vestnik Kemerovskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Soviet Mathematics 1 Geometricheskiĭ Sbornik 1 Trudy Rubtsovskogo Industrial’nogo Instituta 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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#### Fields

 27 Differential geometry (53-XX) 25 Global analysis, analysis on manifolds (58-XX) 4 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 51 times in 29 Documents Cited by Year
Spaces of Riemannian metrics. Zbl 1130.58006
Smolentsev, N. K.
2007
Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025
Smolentsev, N. K.
1992
Diffeomorphism groups of compact manifolds. Zbl 1147.58012
Smolentsev, N. K.
2007
A biinvariant metric on the group of symplectic diffeomorphisms and the equation $$(\partial/\partial t)\Delta F = \{\Delta F,F\}$$. Zbl 0617.58010
Smolentsev, N. K.
1986
Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038
Smolentsev, N. K.
1982
Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008
Smolentsev, N. K.
1983
A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007
Smolentsev, N. K.
1984
Curvature of the classical diffeomorphism groups. Zbl 0833.53027
Smolentsev, N. K.
1994
On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027
Smolentsev, N. K.
1987
Principle of Maupertuis. Zbl 0477.58007
Smolentsev, N. K.
1979
Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023
Smolentsev, N. K.
1992
Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036
Smolentsev, N. K.
1992
Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028
Smolentsev, N. K.
1989
On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009
Smolentsev, N. K.
1979
Vector product on a seven-dimensional manifold. Zbl 0564.53014
Smolentsev, N. K.
1984
Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016
Smolentsev, N. K.
1994
Critical associated metrics on a symplectic manifold. Zbl 0855.53020
Smolentsev, N. K.
1995
On the Cayley almost complex structure on the sphere $$S^6$$. Zbl 1054.53057
Smolentsev, N. K.
2003
On the space of almost complex structures. Zbl 1054.53054
Daurtseva, N. A.; Smolentsev, N. K.
2001
Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058
Smolentsev, N. K.
2015
Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036
Smolentsev, N. K.
1992
On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029
Smolentsev, N. K.
1992
Space of associated metrics on a regular contact manifold. Zbl 0712.58017
Smolentsev, N. K.
1990
Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058
Smolentsev, N. K.
2015
Spaces of Riemannian metrics. Zbl 1130.58006
Smolentsev, N. K.
2007
Diffeomorphism groups of compact manifolds. Zbl 1147.58012
Smolentsev, N. K.
2007
On the Cayley almost complex structure on the sphere $$S^6$$. Zbl 1054.53057
Smolentsev, N. K.
2003
On the space of almost complex structures. Zbl 1054.53054
Daurtseva, N. A.; Smolentsev, N. K.
2001
Critical associated metrics on a symplectic manifold. Zbl 0855.53020
Smolentsev, N. K.
1995
Curvature of the classical diffeomorphism groups. Zbl 0833.53027
Smolentsev, N. K.
1994
Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016
Smolentsev, N. K.
1994
Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025
Smolentsev, N. K.
1992
Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023
Smolentsev, N. K.
1992
Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036
Smolentsev, N. K.
1992
Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036
Smolentsev, N. K.
1992
On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029
Smolentsev, N. K.
1992
Space of associated metrics on a regular contact manifold. Zbl 0712.58017
Smolentsev, N. K.
1990
Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028
Smolentsev, N. K.
1989
On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027
Smolentsev, N. K.
1987
A biinvariant metric on the group of symplectic diffeomorphisms and the equation $$(\partial/\partial t)\Delta F = \{\Delta F,F\}$$. Zbl 0617.58010
Smolentsev, N. K.
1986
A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007
Smolentsev, N. K.
1984
Vector product on a seven-dimensional manifold. Zbl 0564.53014
Smolentsev, N. K.
1984
Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008
Smolentsev, N. K.
1983
Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038
Smolentsev, N. K.
1982
Principle of Maupertuis. Zbl 0477.58007
Smolentsev, N. K.
1979
On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009
Smolentsev, N. K.
1979
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#### Cited by 25 Authors

 9 Smolentsev, Nicolai Konstantinovich 4 Preston, Stephen C. 2 Chhay, Boramey 2 Daurtseva, N. A. 2 Misiołek, Gerard 2 Modin, Klas 1 Benn, James 1 Bruveris, Martins 1 Carfora, Mauro 1 Catino, Giovanni 1 Czarnecki, Andrzej 1 Ebin, David G. 1 Ghahremani-Gol, Hajar 1 Huang, Guangyue 1 Kal’nitskiĭ, Vyacheslav S. 1 Khesin, Boris A. 1 Lukatskij, Aleksandr Mikhailovich 1 Marsland, Stephen R. 1 McLachlan, Robert I. 1 Perlmutter, Matthew 1 Razavi, Asadollah 1 Rezaii, Morteza Mirmohammad 1 Shojaee, Neda 1 Sroka, Marcin 1 Valli, Giorgio
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#### Cited in 17 Serials

 7 Siberian Mathematical Journal 4 Journal of Mathematical Sciences (New York) 2 Journal of Geometry and Physics 2 Annals of Global Analysis and Geometry 2 Journal of Geometric Mechanics 1 Mathematical Notes 1 Reviews in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Proceedings of the American Mathematical Society 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Arnold Mathematical Journal
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#### Cited in 11 Fields

 24 Global analysis, analysis on manifolds (58-XX) 23 Differential geometry (53-XX) 8 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)