Edit Profile (opens in new tab) Smolentsev, Nicolai Konstantinovich Compute Distance To: Compute Author ID: smolentsev.n-k Published as: Smolentsev, N. K. External Links: Math-Net.Ru Documents Indexed: 35 Publications since 1979 2 Contributions as Editor Reviewing Activity: 304 Reviews Co-Authors: 1 Co-Author with 2 Joint Publications Co-Authors 34 single-authored 2 Daurtseva, Nataliya Alexandrovna 1 Shagabudinova, I. Yu. all top 5 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 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Soviet Mathematics 1 Geometricheskiĭ Sbornik 1 Trudy Rubtsovskogo Industrial’nogo Instituta 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki all top 5 Fields 29 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) 2 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 59 times in 37 Documents Cited by ▼ Year ▼ Spaces of Riemannian metrics. Zbl 1130.58006Smolentsev, N. K. 9 2007 Diffeomorphism groups of compact manifolds. Zbl 1147.58012Smolentsev, N. K. 6 2007 Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025Smolentsev, N. K. 5 1992 A biinvariant metric on the group of symplectic diffeomorphisms and the equation \((\partial/\partial t)\Delta F = \{\Delta F,F\}\). Zbl 0617.58010Smolentsev, N. K. 4 1986 Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008Smolentsev, N. K. 3 1983 Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038Smolentsev, N. K. 3 1982 Curvature of the classical diffeomorphism groups. Zbl 0833.53027Smolentsev, N. K. 3 1994 On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027Smolentsev, N. K. 3 1987 A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007Smolentsev, N. K. 3 1984 Principle of Maupertuis. Zbl 0477.58007Smolentsev, N. K. 2 1979 Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023Smolentsev, N. K. 2 1992 Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036Smolentsev, N. K. 2 1992 Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028Smolentsev, N. K. 2 1989 Canonical almost pseudo-Kähler metrics in 6-dimensional nilpotent Lie groups. Zbl 1400.53040Smolentsev, N. K. 1 2013 Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036Smolentsev, N. K. 1 1992 On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029Smolentsev, N. K. 1 1992 On almost complex structures on 6-dimensional products of spheres. Zbl 1217.53075Smolentsev, N. K. 1 2009 On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009Smolentsev, N. K. 1 1979 Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016Smolentsev, N. K. 1 1994 Critical associated metrics on a symplectic manifold. Zbl 0855.53020Smolentsev, N. K. 1 1995 Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058Smolentsev, N. K. 1 2015 Space of associated metrics on a regular contact manifold. Zbl 0712.58017Smolentsev, N. K. 1 1990 Vector product on a seven-dimensional manifold. Zbl 0564.53014Smolentsev, N. K. 1 1984 On the Cayley almost complex structure on the sphere \(S^6\). Zbl 1054.53057Smolentsev, N. K. 1 2003 On the space of almost complex structures. Zbl 1054.53054Daurtseva, N. A.; Smolentsev, N. K. 1 2001 Left-invariant para-Kähler structures on six-dimensional nilpotent Lie groups. Zbl 07652588Smolentsev, Nikolaĭ Konstantinovich 1 2022 Left-invariant para-Kähler structures on six-dimensional nilpotent Lie groups. Zbl 07652588Smolentsev, Nikolaĭ Konstantinovich 1 2022 Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058Smolentsev, N. K. 1 2015 Canonical almost pseudo-Kähler metrics in 6-dimensional nilpotent Lie groups. Zbl 1400.53040Smolentsev, N. K. 1 2013 On almost complex structures on 6-dimensional products of spheres. Zbl 1217.53075Smolentsev, N. K. 1 2009 Spaces of Riemannian metrics. Zbl 1130.58006Smolentsev, N. K. 9 2007 Diffeomorphism groups of compact manifolds. Zbl 1147.58012Smolentsev, N. K. 6 2007 On the Cayley almost complex structure on the sphere \(S^6\). Zbl 1054.53057Smolentsev, N. K. 1 2003 On the space of almost complex structures. Zbl 1054.53054Daurtseva, N. A.; Smolentsev, N. K. 1 2001 Critical associated metrics on a symplectic manifold. Zbl 0855.53020Smolentsev, N. K. 1 1995 Curvature of the classical diffeomorphism groups. Zbl 0833.53027Smolentsev, N. K. 3 1994 Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016Smolentsev, N. K. 1 1994 Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025Smolentsev, N. K. 5 1992 Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023Smolentsev, N. K. 2 1992 Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036Smolentsev, N. K. 2 1992 Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036Smolentsev, N. K. 1 1992 On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029Smolentsev, N. K. 1 1992 Space of associated metrics on a regular contact manifold. Zbl 0712.58017Smolentsev, N. K. 1 1990 Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028Smolentsev, N. K. 2 1989 On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027Smolentsev, N. K. 3 1987 A biinvariant metric on the group of symplectic diffeomorphisms and the equation \((\partial/\partial t)\Delta F = \{\Delta F,F\}\). Zbl 0617.58010Smolentsev, N. K. 4 1986 A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007Smolentsev, N. K. 3 1984 Vector product on a seven-dimensional manifold. Zbl 0564.53014Smolentsev, N. K. 1 1984 Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008Smolentsev, N. K. 3 1983 Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038Smolentsev, N. K. 3 1982 Principle of Maupertuis. Zbl 0477.58007Smolentsev, N. K. 2 1979 On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009Smolentsev, N. K. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 38 Authors 9 Smolentsev, Nicolai Konstantinovich 4 Preston, Stephen C. 3 Misiołek, Gerard 2 Bruveris, Martins 2 Catino, Giovanni 2 Chhay, Boramey 2 Daurtseva, Nataliya Alexandrovna 2 Modin, Klas 2 Smolentsev, Nikolay Konstantinovich 2 Yoneda, Tsuyoshi 1 Bauer, Martin 1 Benn, James 1 Carfora, Mauro 1 Chen, Li 1 Czarnecki, Andrzej 1 Drivas, Theodore Dimitrios 1 Ebin, David G. 1 Ghahremani-Gol, Hajar 1 Harms, Philipp 1 Huang, Guangyue 1 Kal’nitskiĭ, Vyacheslav S. 1 Khesin, Boris A. 1 Lukatskij, Aleksandr Mikhailovich 1 Marsland, Stephen R. 1 Mastrolia, Paolo 1 McLachlan, Robert I. 1 Michor, Peter Wolfram 1 Monticelli, Dario Daniele 1 Perlmutter, Matthew 1 Razavi, Asadollah 1 Rezaii, Morteza Mirmohammad 1 Shi, Bin 1 Shojaee, Neda 1 Slavolyubova, Yaroslavna Viktorovna 1 Slavolyubova, Yaroslavna Voktorovna 1 Sroka, Marcin 1 Tauchi, Taito 1 Valli, Giorgio all top 5 Cited in 22 Serials 7 Siberian Mathematical Journal 4 Journal of Mathematical Sciences (New York) 4 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Journal of Geometry and Physics 2 Annals of Global Analysis and Geometry 2 Journal of Geometric Mechanics 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Reviews in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Annales Mathématiques du Québec 1 Arnold Mathematical Journal all top 5 Cited in 12 Fields 28 Differential geometry (53-XX) 27 Global analysis, analysis on manifolds (58-XX) 11 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year