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Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space

✍ Scribed by Masaki Kasedou


Publisher
Springer
Year
2009
Tongue
English
Weight
366 KB
Volume
94
Category
Article
ISSN
0047-2468

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Curvature properties of compact spacelik
✍ Juan A. Aledo; Luis J. Alı́as πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 87 KB

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