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Foliations of space-times by spacelike hypersurfaces of constant mean curvature

✍ Scribed by A. J. Goddard


Publisher
Springer
Year
1977
Tongue
English
Weight
239 KB
Volume
54
Category
Article
ISSN
0010-3616

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We ask when a constant mean curvature n-submanifold foliated by spheres in one of the Euclidean, hyperbolic and Lorentz-Minkowski spaces (E n+1 , H n+1 or L n+1 ), is a hypersurface of revolution. In E n+1 and L n+1 we will assume that the spheres lie in parallel hyperplanes and in the case of hyper

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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