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On the Curvatures of Complete Spacelike Hypersurfaces in de Sitter Space

✍ Scribed by Juan A. Aledo; Luis J. Alías


Book ID
110221074
Publisher
Springer
Year
2000
Tongue
English
Weight
101 KB
Volume
80
Category
Article
ISSN
0046-5755

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In this paper we establish a sufficient condition for a compact spacelike hypersurface in de Sitter space to be spherical in terms of a lower bound for the square of its mean curvature. Our result will be a consequence of the maximum principle for the Laplacian operator. We also derive some other ap

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