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- Title
Revisiting linear Weingarten spacelike hypersurfaces immersed in the de Sitter space.
- Authors
dos Santos, Fábio R.; de Lima, Henrique F.; Rocha, Lucas S.
- Abstract
We study closed linear Weingarten spacelike hypersurfaces immersed in the de Sitter space S¹n+1, which means that these spacelike hypersurfaces have mean and scalar curvatures linearly related. Using a modified Cheng-Yau operator, we obtain a suitable integral inequality involving the norm of the total umbilicity tensor of these spacelike hypersurfaces and we apply it to characterize totally umbilical round spheres of S¹n+1.
- Subjects
SPACE; HYPERSURFACES; CURVATURE; INTEGRAL inequalities; SPHERES
- Publication
International Journal of Geometry, 2020, Vol 9, Issue 2, p93
- ISSN
2247-9880
- Publication type
Article