A. A. Borisenko, “Compact spacelike surfaces in the 3-dimensional de Sitter space”, Zh. Mat. Fiz. Anal. Geom., 2006, Volume 2, Number 1,Pages <nobr>3

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.

MSC: Primary 53C42; Secondary 53B30, 53C45

Received: 14.09.2005

Language: English