Compact Spacelike Surfaces in the 3-Dimensional de Sitter Space

Автор(и)

A. A. Borisenko Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

de Sitter space, compact spacelike surface, second fundamental form, Gaussian curvature, totally umbilical round sphere

We establish several sufficient conditions for a compact spacelike surface in the 3-dimensional de Sitter space to be totally geodesic or spherical.

Mathematics Subject Classification: 53C42, 53B30, 53C45.

(1)

Borisenko, A. A. Compact Spacelike Surfaces in the 3-Dimensional de Sitter Space. Журн. мат. фіз. анал. геом. 2006, 2, 3-9.

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ISSN: 1812-9471	(Print)
ISSN: 1817-5805	(Online)