A sharp height estimate for compact spacelike hypersurfaces with constant r-mean curvature in the Lorentz–Minkowski space and application
نویسنده
چکیده
In this paper we obtain a sharp height estimate concerning compact spacelike hypersurfaces Σn immersed in the (n + 1)dimensional Lorentz–Minkowski space Ln+1 with some nonzero constant r-mean curvature, and whose boundary is contained into a spacelike hyperplane of Ln+1. Furthermore, we apply our estimate to describe the nature of the end of a complete spacelike hypersurface of Ln+1. © 2007 Elsevier B.V. All rights reserved. MSC: primary 53C42; secondary 53B30, 53C50
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