Zobrazeno 1 - 9 of 9 pro vyhledávání: '"S. V. Galaev"'
1
Akademický článek
On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection
Autor: S. V. Galaev
Publikováno v: Дифференциальная геометрия многообразий фигур, Vol 54, Iss 1, Pp 64-77 (2023)
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is cal
Externí odkaz: https://doaj.org/article/d389b89a159346a6ac1820b1f0b66107
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2
Admissible Hyper-Complex Pseudo-Hermitian Structures
Autor: S. V. Galaev
Publikováno v: Lobachevskii Journal of Mathematics. 39:71-76
The notions of an admissible pseudo-Kahlerian structure and of an admissible hypercomplex pseudo-Hermitian structure are introduced. On the distribution D of an almost contact structure (M, $$\vec \xi $$ , η, φ, g, D) with a Norden metric, using a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d8323871af238e526ac9b3e760a722c7
https://doi.org/10.1134/s1995080218010122
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4
N-extended symplectic connections in almost contact metric spaces
Autor: S. V. Galaev
Publikováno v: Russian Mathematics. 61:12-19
On a manifold with an almost contact metric structure we introduce the notions of intrinsic connection, N-extended connection and N-connection. It is shown that the Tanaka–Webster and Schouten–van Kampen connections are special cases of N-connect
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f5af1f33d9b7043473b65e95f41582d2
https://doi.org/10.3103/s1066369x17030021
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7
Geometric interpretation of the Wagner curvature tensor in the case of a manifold with contact metric structure
Autor: S. V. Galaev
Publikováno v: Siberian Mathematical Journal. 57:498-504
Considering a manifold (φ, ξ, η, g, X, D) with contact metric structure, we introduce the concept of N-extended connection (connection on a vector bundle (D, π,X)), with N an endomorphism of the distribution D, and show that the curvature tensor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e923e1c571b05ff4a9e9f97d37650cc7
https://doi.org/10.1134/s0037446616030101
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8
Almost contact Kähler manifolds of constant holomorphic sectional curvature
Autor: S. V. Galaev
Publikováno v: Russian Mathematics. 58:35-42
We introduce the notion of an almost contact Kahler structure. We also define the holomorphic sectional curvature of the distribution of an almost contact Kahler structure with respect to an interior metric connection and establish relations between
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b15f665456c0f68fd843cb2992525be6
https://doi.org/10.3103/s1066369x14080040
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9
Connections on distributions and geodesic sprays
Autor: S. V. Galaev, A. V. Bukusheva
Publikováno v: Russian Mathematics. 57:7-13
We define (in a natural way) an almost contactmetric structure on a smooth distribution of a contact metric manifold considered as the total space of a vector bundle. We introduce notions of a geodesic spray of a connection on a smooth distribution a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e5475b5c912bd0bbf1ca20597b5a3a4b
https://doi.org/10.3103/s1066369x13040026
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