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On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

โœ Scribed by Jiancheng Liu; Zhongyang Sun


Book ID
108178587
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
186 KB
Volume
364
Category
Article
ISSN
0022-247X

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Constant mean curvature spacelike hypers
โœ Luis J. Alรญas; JosรฉA. Pastor ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 502 KB

We study compact spacelike hypersurfaces (necessarily with non-empty boundary) with constant mean curvature in the (n + 1)-dimensional Lorentz-Minkowski space. In particular, when the boundary is a round sphere we prove that the only such hypersurfaces are the hyperplanar round balls (with zero mean