Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2006, Volume 2, Number 1, Pages 3–8 (Mi jmag18)  
Compact spacelike surfaces in the 3-dimensional de Sitter space

A. A. Borisenko

Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
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Abstract: We establish several sufficient conditions for a compact spacelike surface in the 3-dimensional de Sitter space to be totally geodesic or spherical.
Key words and phrases: de Sitter space, compact spacelike surface, second fundamental form, Gaussian curvature, totally umbilical round sphere.
Received: 14.09.2005
Bibliographic databases:
Document Type: Article
MSC: Primary 53C42; Secondary 53B30, 53C45
Language: English
Citation: A. A. Borisenko, “Compact spacelike surfaces in the 3-dimensional de Sitter space”, Zh. Mat. Fiz. Anal. Geom., 2:1 (2006), 3–8
Citation in format AMSBIB
\Bibitem{Bor06}
\by A.~A.~Borisenko
\paper Compact spacelike surfaces in the 3-dimensional de Sitter space
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2006
\vol 2
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/jmag18}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2205167}
\zmath{https://zbmath.org/?q=an:1153.53038}
\elib{https://elibrary.ru/item.asp?id=13009138}
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