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June 2001 A Congruence Theorem for Compact Spacelike Surfaces in de Sitter Space
Luis J. ALÍAS
Tokyo J. Math. 24(1): 107-112 (June 2001). DOI: 10.3836/tjm/1255958315

Abstract

In this paper we prove that two compact spacelike surfaces in de Sitter space for which there exists an isometry preserving their mean curvature functions are necessarily congruent. As an application of this, we deduce that there exists no compact spacelike Bonnet surface in de Sitter space.

Citation

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Luis J. ALÍAS. "A Congruence Theorem for Compact Spacelike Surfaces in de Sitter Space." Tokyo J. Math. 24 (1) 107 - 112, June 2001. https://doi.org/10.3836/tjm/1255958315

Information

Published: June 2001
First available in Project Euclid: 19 October 2009

zbMATH: 1015.53002
MathSciNet: MR1844421
Digital Object Identifier: 10.3836/tjm/1255958315

Rights: Copyright © 2001 Publication Committee for the Tokyo Journal of Mathematics

Vol.24 • No. 1 • June 2001
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