Zobrazeno 1 - 10 of 103 pro vyhledávání: '"Oleg Ivanovich Mokhov"'
1
On Algebraic-Geometric Methods for Constructing Submanifolds with Flat Normal Bundle and Holonomic Net of Curvature Lines
Autor: Oleg Ivanovich Mokhov, E. V. Glukhov
Publikováno v: Functional Analysis and Its Applications. 54:169-178
In this paper we propose a generalization of Krichever’s algebraic-geometric construction of orthogonal coordinate systems in a flat space. In the theory of integrable systems of hydrodynamic type a fundamental role is also played by orthogonal coo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6b51916ed9e55b126d867cac5b0f621e
https://doi.org/10.1134/s0016266320030028
Zobrazit plný text záznamu
2
On Metrics of Diagonal Curvature
Autor: Oleg Ivanovich Mokhov
Publikováno v: Journal of Mathematical Sciences. 248:780-787
In this paper, the theory of spaces of diagonal curvature is developed. An efficient necessary condition for metrics of diagonal curvature, namely, the vanishing of the Haantjes tensor for the Ricci affinor, is obtained. Examples are constructed.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::720a7c121e5328c3f2630a612321c71f
https://doi.org/10.1007/s10958-020-04912-z
Zobrazit plný text záznamu
3
Об алгебро-геометрических методах построения подмногообразий с плоской нормальной связностью и голономной сетью линий кривизны
Autor: Evgeniy Vladimirovich Glukhov, Oleg Ivanovich Mokhov
Publikováno v: Функциональный анализ и его приложения. 54:26-37
В данной статье предложено обобщение алгебро-геометрической конструкции Кричевера построения ортогональных систем координат в плоско
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::10e0ded23b7c76aa2dae6c35e7275895
https://doi.org/10.4213/faa3744
Zobrazit plný text záznamu
4
Classification of the Associativity Equations with A First-Order Hamiltonian Operator
Autor: Oleg Ivanovich Mokhov, N. A. Pavlenko
Publikováno v: Theoretical and Mathematical Physics. 197:1501-1513
We study the Hamiltonian geometry of systems of hydrodynamic type that are equivalent to the associativity equations in the case of three primary fields and obtain the complete classification of the associativity equations with respect to the existen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::013689809a21506546b1005714dee506
https://doi.org/10.1134/s0040577918100070
Zobrazit plný text záznamu
7
LIOUVILLE INTEGRABLE REDUCTIONS OF THE ASSOCIATIVITY EQUATIONS ON THE SET OF STATIONARY POINTS OF AN INTEGRAL IN THE CASE OF THREE PRIMARY FIELDS
Autor: Oleg Ivanovich Mokhov, Nadezhda Aleksandrovna Strizhova
Publikováno v: The XXII workshop of the Council of nonlinear dynamics of the Russian Academy of Sciences. 47:88-90
In this work, in the case of three primary fields, a reduction of the associativity equations (the Witten–Dijkgraaf–Verlinde–Verlinde system, see (Witten, 1990, Dijkgraaf et al., 1991, Dubrovin, 1994) with antidiagonal matrix ηij on the set of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3deeb40faf1f3bebf568d16558d974cb
https://doi.org/10.29006/1564-2291.jor-2019.47(1).26
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje