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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 3–9
DOI: https://doi.org/10.36535/0233-6723-2023-222-3-9 (Mi into1136) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Geometry of almost $3$-quasi-Sasakian manifolds of the second kind

S. V. Galaev

Saratov State University
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DOI: https://doi.org/10.36535/0233-6723-2023-222-3-9
Abstract: In this paper, we define the structure of an almost $3$-quasi-Sasakian manifold of the second kind and prove that on a zero-curvature distribution of an almost quasi-Sasakian manifold, the structure of an almost $3$-quasi-Sasakian manifold is determined by a connection with skew-symmetric torsion.
Keywords: sub-Riemannian manifold of contact type, almost contact metric manifold, interior connection, almost quasi-Sasakian manifold, skew-symmetric connection, almost $3$-quasi-Sasakian structure.
Document Type: Article
UDC: 514.76
MSC: 53C17
Language: Russian
Citation: S. V. Galaev, “Geometry of almost $3$-quasi-Sasakian manifolds of the second kind”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 3–9
Citation in format AMSBIB
\Bibitem{Gal23}
\by S.~V.~Galaev
\paper Geometry of almost $3$-quasi-Sasakian manifolds of the second kind
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1136}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-3-9}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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