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The influence of the boundary behaviour on hypersurfaces with constant mean curvature inHn+1

✍ Scribed by M. P. do Garmo; J. de M. Gomes; G. Thorbergsson

Book ID
110596572
Publisher
European Mathematical Society
Year
1986
Tongue
English
Weight
617 KB
Volume
61
Category
Article
ISSN
0010-2571

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Constant mean curvature spacelike hypers
Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space
✍ Luis J. AlΓ­as; JosΓ©A. Pastor πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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