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- Title
On the classification of MOTS in the de Sitter space.
- Authors
Batista, Márcio; de Lima, Henrique F.; Santos, Fábio R. dos
- Abstract
In this paper, we deal with marginally outer trapped surfaces (MOTS) immersed in the de Sitter space S 1 n + 2 . In this setting we are able to obtain a Simons formula for the null second fundamental form and under some appropriate constraints on the MOTS, we apply a weak maximum principle in order to guarantee that it must be either a totally geodesic submanifold or isometric to an open piece of an isoparametric submanifold with two distinct principal curvatures one of which is simple. In this last case, supposing that the initial data where the MOTS lying is a totally umbilical spacelike hypersurface of S 1 n + 2 , we conclude that it must be either isometric to a circular cylinder, a hyperbolic cylinder or a Clifford torus.
- Publication
Manuscripta Mathematica, 2020, Vol 162, Issue 1/2, p159
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-019-01123-y