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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)
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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
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
Citation:
A. A. Borisenko, “Compact spacelike surfaces in the 3-dimensional de Sitter space”, Zh. Mat. Fiz. Anal. Geom., 2:1 (2006), 3–8
Linking options:
https://www.mathnet.ru/eng/jmag18 https://www.mathnet.ru/eng/jmag/v2/i1/p3
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Abstract page: | 264 | Full-text PDF : | 71 | References: | 52 |
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