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- Title
Sharp height estimate in Lorentz-Minkowski space revisited.
- Authors
de Lima, Eudes L.; de Lima, Henrique F.; Aquino, Cícero P.
- Abstract
In this paper, we deal with compact (necessarily with nonempty boundary) generalized linear Weingarten spacelike hypersurfaces immersed into the Lorentz-Minkowski space Ln+1, which means that there exists a linear relation involving some of the corresponding higher order mean curvatures. In this setting, we obtain a sharp height estimate concerning such a hypersurfaces whose boundary is contained in a spacelike hyperplane of Ln+1. Furthermore, we apply our estimate to describe the nature of the end of a complete generalized linear Weingarten spacelike hypersurface in Ln+1.
- Subjects
MINKOWSKI space; LORENTZ spaces; HYPERSURFACES; HYPERPLANES; MATHEMATICS
- Publication
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018, Vol 25, Issue 1, p29
- ISSN
1370-1444
- Publication type
Article
- DOI
10.36045/bbms/1523412050