Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 180, Pages 109–112
DOI: https://doi.org/10.36535/0233-6723-2020-180-109-112 (Mi into649) 		 
Surfaces in the quasi-hyperbolic space $^{11}S^1_3$

V. B. Tsyrenova

Buryat State University, Ulan-Ude
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DOI: https://doi.org/10.36535/0233-6723-2020-180-109-112
Abstract: Quasi-hyperbolic spaces are projective spaces with decomposable absolute. In this paper, we analyze surfaces in such spaces using the method of external forms and the method of movable frames. Geometric characteristics of invariants of lines on such surfaces are found. Analogs of Foss surfaces are obtained.
Keywords: quasi-hyperbolic space, absolute, surface, canonical frame, invariant, line on the surface, geodesic line.
Document Type: Article
UDC: 514.753
MSC: 53A35
Language: Russian
Citation: V. B. Tsyrenova, “Surfaces in the quasi-hyperbolic space $^{11}S^1_3$”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180, VINITI, Moscow, 2020, 109–112
Citation in format AMSBIB
\Bibitem{Tsy20}
\by V.~B.~Tsyrenova
\paper Surfaces in the quasi-hyperbolic space $^{11}S^1_3$
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 180
\pages 109--112
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into649}
\crossref{https://doi.org/10.36535/0233-6723-2020-180-109-112}
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