?
О накрытиях расслоений
С. 125–127.
Publication based on the results of:
D. A. Maksimov, Yakovlev E., Lobachevskii Journal of Mathematics 2024 Vol. 45 No. 8 P. 3924–3934
Regular coverings of Lorentzian manifolds are studied under the assumption that the covering map is isometric and preserves time orientation. Conditions for the covering manifold are obtained that are necessary and sufficient for the base to be chronological, causal, strongly or stable causal, and also globally hyperbolic manifold. As a corollary, statements are obtained that ...
Added: November 23, 2024
Yakovlev E., Russian Mathematics, USA 2023 Vol. 67 No. 3 P. 76–84
In this paper, we study coverings of the Serre bundle category. A covering mapping of one such bundle onto another is understood as a morphism of the indicated category that consists of covering mappings of total spaces and bases. Earlier, the author associated each such covering with a subsequence of the homotopy sequence of the ...
Added: September 7, 2023
Yakovlev E., Russian Mathematics (USA) 2022 № 3 С. 71–84
The category of coverings of a given Serre bundle is investigated. By a covering mapping
of one such bundle onto another we mean a morphism in the category of bundles consisting of
covering mappings of total spaces and bases. An invariant of a covering from the indicated category
is constructed, which is the conjugacy class of some subsequence ...
Added: August 10, 2022
Yakovlev E., В кн.: Материалы Международной конференции по алгебре, анализу и геометрии 2021.: Каз.: Издательство Академии наук Республики Татарстан, 2021. С. 418–421.
Added: September 21, 2021
Gonchar T., Yakovlev E., Russian Mathematics 2021 Vol. 65 No. 4 P. 22–43
Исследуется категория регулярных накрытий заданного гладкого главного расслоения. Под накрывающим отображением одного главного расслоения на другое понимается морфизм в категории главных расслоений, состоящий из накрывающих отображений структурных групп, тотальных пространств и баз. Основные результаты: построение инварианта регулярного накрытия, представляющего собой подпоследовательность гомотопической последовательности базового расслоения, теорема существования накрытия с заданным инвариантом, критерии морфизмов и изоморфизмов, ...
Added: September 21, 2021
Zhukova N., Труды Московского физико-технического института 2017 Т. 9 № 4 С. 132–141
Complete transversely affine foliations are studied. The strong transversal equivalence of
complete affine foliations is investigated, which is a more refined notion than the transverse
equivalence of foliations in the sense of Molino. A global holonomy group of a complete
affine foliations is determined and it is proved that this group is the complete invariant
of the foliation relatively ...
Added: November 28, 2017
Zhukova N., В кн.: Дифференциальные уравнения и их приложения в математическом моделировании: материалы XIII Международной научной конференции (Саранск, 12–16 июля 2017 г.).: Саранск: Средневолжское математическое общество (СВМО), 2017. С. 403–407.
Complete affine foliations (i.e., foliations admitting the affine geometry as the transversal structure) are investigated. The strong transversal equivalence of complete affine foliations is considered, which is a more refined notion than the transverse equivalence of foliations in the sense of Molino. The classification of complete affine foliations with respect to the strong transversal equivalence ...
Added: November 13, 2017
А.А. Ерискин, В кн.: VI Всероссийская молодежная конференция по фундаментальным и инновационным вопросам современной физики.: М.: РИИС ФИАН, 2015. С. 113–113.
The possibility of applying protective coatings on the inner surface of the thin Cu-tubes on devices such as plasma focus. The coatings obtained by the erosion of the anode material (Cu, W) with a plasma pulse. It is found that the coating composition is a complex material comprising: Cu, O, C, W, Fe, Ni. The ...
Added: November 25, 2015
Smirnov A., Matveenko S., Semenova E., Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2015 Vol. 11
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schrödinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic ''freak waves''. We also study the dependency of the solution parameters on the spectral curves. ...
Added: October 15, 2015