Edit Profile (opens in new tab) Smolentsev, Nikolaĭ Konstantinovich Co-Author Distance Author ID: smolentsev.n-k Published as: Smolentsev, N. K.; Smolentsev, Nikolaĭ Konstantinovich Further Spellings: Смоленцев Николай Константинович External Links: Math-Net.Ru Documents Indexed: 52 Publications since 1979, including 14 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 304 Reviews Co-Authors: 5 Co-Authors with 9 Joint Publications Co-Authors 45 single-authored 3 Podkur, P. N. 2 Daurtseva, Nataliya Alexandrovna 2 Shagabudinova, I. Yu. 1 Chernova, K. V. 1 Sokolova, A. Yu all top 5 Serials 14 Siberian Mathematical Journal 6 Sibirskiĭ Matematicheskiĭ Zhurnal 5 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 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 all top 5 Fields 42 Differential geometry (53-XX) 28 Global analysis, analysis on manifolds (58-XX) 11 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 82 times in 51 Documents Cited by ▼ Year ▼ Spaces of Riemannian metrics. Zbl 1130.58006 Smolentsev, N. K. 10 2007 Diffeomorphism groups of compact manifolds. Zbl 1147.58012 Smolentsev, N. K. 7 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. 5 1986 Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025 Smolentsev, N. K. 5 1992 Left-invariant para-Sasakian structures on Lie groups. Zbl 1497.53068 Smolentsev, N. K. 5 2019 Curvature of the classical diffeomorphism groups. Zbl 0833.53027 Smolentsev, N. K. 4 1994 A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007 Smolentsev, N. K. 3 1984 Principle of Maupertuis. Zbl 0477.58007 Smolentsev, N. K. 3 1979 On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027 Smolentsev, N. K. 3 1987 Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008 Smolentsev, N. K. 3 1983 Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038 Smolentsev, N. K. 3 1982 On parasasakian structures on five-dimensional Lie algebras. Zbl 1508.53036 Smolentsev, N. K.; Shagabudinova, I. Yu. 3 2021 On almost complex structures on 6-dimensional products of spheres. Zbl 1217.53075 Smolentsev, N. K. 3 2009 On almost (para)complex Cayley structures on spheres \(S^{2,4}\) and \(S^{3,3} \). Zbl 1506.53041 Smolentsev, N. K. 3 2018 Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023 Smolentsev, N. K. 3 1992 Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028 Smolentsev, N. K. 2 1989 Critical associated metrics on a symplectic manifold. Zbl 0855.53020 Smolentsev, N. K. 2 1995 Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036 Smolentsev, N. K. 2 1992 On the Cayley almost complex structure on the sphere \(S^6\). Zbl 1054.53057 Smolentsev, N. K. 1 2003 On the space of almost complex structures. Zbl 1054.53054 Daurtseva, N. A.; Smolentsev, N. K. 1 2001 Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016 Smolentsev, N. K. 1 1994 Space of associated metrics on a regular contact manifold. Zbl 0712.58017 Smolentsev, N. K. 1 1990 On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029 Smolentsev, N. K. 1 1992 Space of K-contact metrics of a three-dimensional manifold. Zbl 0675.53036 Smolentsev, N. K. 1 1987 Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036 Smolentsev, N. K. 1 1992 Vector product on a seven-dimensional manifold. Zbl 0564.53014 Smolentsev, N. K. 1 1984 On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009 Smolentsev, N. K. 1 1979 Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058 Smolentsev, N. K. 1 2015 Canonical almost pseudo-Kähler metrics in 6-dimensional nilpotent Lie groups. Zbl 1400.53040 Smolentsev, N. K. 1 2013 Left-invariant para-Kähler structures on six-dimensional nilpotent Lie groups. Zbl 1524.53097 Smolentsev, Nikolaĭ Konstantinovich 1 2022 On almost complex structures on six-dimensional products of spheres. Zbl 1447.53030 Daurtseva, N. A.; Smolentsev, N. K. 1 2020 Left-invariant para-Kähler structures on six-dimensional nilpotent Lie groups. Zbl 1524.53097 Smolentsev, Nikolaĭ Konstantinovich 1 2022 On parasasakian structures on five-dimensional Lie algebras. Zbl 1508.53036 Smolentsev, N. K.; Shagabudinova, I. Yu. 3 2021 On almost complex structures on six-dimensional products of spheres. Zbl 1447.53030 Daurtseva, N. A.; Smolentsev, N. K. 1 2020 Left-invariant para-Sasakian structures on Lie groups. Zbl 1497.53068 Smolentsev, N. K. 5 2019 On almost (para)complex Cayley structures on spheres \(S^{2,4}\) and \(S^{3,3} \). Zbl 1506.53041 Smolentsev, N. K. 3 2018 Complex, symplectic, and contact structures on low-dimensional Lie groups. Zbl 1320.53058 Smolentsev, N. K. 1 2015 Canonical almost pseudo-Kähler metrics in 6-dimensional nilpotent Lie groups. Zbl 1400.53040 Smolentsev, N. K. 1 2013 On almost complex structures on 6-dimensional products of spheres. Zbl 1217.53075 Smolentsev, N. K. 3 2009 Spaces of Riemannian metrics. Zbl 1130.58006 Smolentsev, N. K. 10 2007 Diffeomorphism groups of compact manifolds. Zbl 1147.58012 Smolentsev, N. K. 7 2007 On the Cayley almost complex structure on the sphere \(S^6\). Zbl 1054.53057 Smolentsev, N. K. 1 2003 On the space of almost complex structures. Zbl 1054.53054 Daurtseva, N. A.; Smolentsev, N. K. 1 2001 Critical associated metrics on a symplectic manifold. Zbl 0855.53020 Smolentsev, N. K. 2 1995 Curvature of the classical diffeomorphism groups. Zbl 0833.53027 Smolentsev, N. K. 4 1994 Natural weak Riemannian structures on the space of Riemannian metrics. Zbl 0866.58016 Smolentsev, N. K. 1 1994 Curvature of the space of associate metrics on a symplectic manifold. Zbl 0755.53025 Smolentsev, N. K. 5 1992 Curvature of the space of associated metrics on a symplectic manifold. Zbl 0788.53023 Smolentsev, N. K. 3 1992 Curvatures of the diffeomorphism group and the space of volume elements. Zbl 0788.53036 Smolentsev, N. K. 2 1992 On the curvature of the space of associated metrics on a contact manifold. Zbl 0780.53029 Smolentsev, N. K. 1 1992 Curvature of the diffeomorphism group and of the space of volume elements. Zbl 0778.53036 Smolentsev, N. K. 1 1992 Space of associated metrics on a regular contact manifold. Zbl 0712.58017 Smolentsev, N. K. 1 1990 Orthogonal decompositions of the space of symmetric tensors on an almost Kählerian manifold. Zbl 0679.53028 Smolentsev, N. K. 2 1989 On the space of K-contact metrics of a three-dimensional manifold. Zbl 0647.53027 Smolentsev, N. K. 3 1987 Space of K-contact metrics of a three-dimensional manifold. Zbl 0675.53036 Smolentsev, N. K. 1 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. 5 1986 A group of diffeomorphisms which leave a vector field fixed. Zbl 0552.58007 Smolentsev, N. K. 3 1984 Vector product on a seven-dimensional manifold. Zbl 0564.53014 Smolentsev, N. K. 1 1984 Biinvariant metric on the group of diffeomorphisms of a three-dimensional manifold. Zbl 0533.58008 Smolentsev, N. K. 3 1983 Integrals of flows of an ideal barotropic fluid. Zbl 0513.58038 Smolentsev, N. K. 3 1982 Principle of Maupertuis. Zbl 0477.58007 Smolentsev, N. K. 3 1979 On a certain weak Riemannian structure on a group of diffeomorphisms. Zbl 0508.58009 Smolentsev, N. K. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 58 Authors 12 Smolentsev, Nikolaĭ Konstantinovich 4 Preston, Stephen C. 3 Daurtseva, Nataliya Alexandrovna 3 Misiołek, Gerard 3 Modin, Klas 2 Bruveris, Martins 2 Catino, Giovanni 2 Chhay, Boramey 2 Kornev, Evgeniĭ Sergeevich 2 Pan’zhenskii, Vladimir Ivanovich 2 Yoneda, Tsuyoshi 1 Balehowsky, Tracey 1 Bauer, Martin 1 Benn, James 1 Carfora, Mauro 1 Chen, Li 1 Conti, Diego 1 Czarnecki, Andrzej 1 Da Silva, Adam Oliveira 1 Dalmasso, Romeo Segnan 1 Drăghici, Tedi Cătălin 1 Drivas, Theodore Dimitrios 1 Dyranova, Yuliya Vyacheslavovna 1 Ebin, David G. 1 Ghahremani-Gol, Hajar 1 Harms, Philipp 1 Huang, Guangyue 1 Inoguchi, Jun-ichi 1 Kal’nitskiĭ, Vyacheslav S. 1 Karlsson, Carl-Joar 1 Khesin, Boris A. 1 Khokhliuk, Oleksandra 1 Lee, Jieun 1 Lukatskij, Aleksandr Mikhailovich 1 Maksymenko, Sergiĭ Ivanovych 1 Marsland, Stephen R. 1 Mastrolia, Paolo 1 McLachlan, Robert I. 1 Michor, Peter Wolfram 1 Monticelli, Dario Daniele 1 Perlmutter, Matthew 1 Rastrepina, Anastasiya Olegovna 1 Razavi, Asadollah 1 Rezaii, Morteza Mirmohammad 1 Rossi, Federico Alberto 1 Sayar, Cem 1 Shagabudinova, I. Yu. 1 Shi, Bin 1 Shojaee, Neda 1 Slavolyubova, Yaroslavna Viktorovna 1 Slavolyubova, Yaroslavna Voktorovna 1 Sroka, Marcin 1 Surina, Olga Petrovna 1 Tauchi, Taito 1 Valli, Giorgio 1 Wan, Xueyuan 1 Wang, Xu 1 Zhong, Shiping all top 5 Cited in 29 Serials 10 Siberian Mathematical Journal 6 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 4 Annals of Global Analysis and Geometry 4 Journal of Mathematical Sciences (New York) 2 Journal of Geometry and Physics 2 Journal of Geometric Mechanics 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Reviews in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 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 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Mediterranean Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Journal of Homotopy and Related Structures 1 Annales Mathématiques du Québec 1 Complex Analysis and its Synergies 1 Arnold Mathematical Journal all top 5 Cited in 16 Fields 40 Differential geometry (53-XX) 29 Global analysis, analysis on manifolds (58-XX) 14 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year