We provide some "half-space theorems" for spacelike complete noncompact hypersurfaces into orthogonally splitted spacetimes. In particular we generalize some recent work of Rubio and Salamanca on maximal spacelike compact hypersurfaces. Beside compactness, we also relax some of their curvature assumptions and even consider the case of nonconstant mean curvature bounded from above. The analytic tools used in various arguments are based on some forms of the weak maximum principle.

Complete spacelike hypersurfaces in orthogonally splitted spacetimes / G. Colombo, M. Rigoli. - In: GENERAL RELATIVITY AND GRAVITATION. - ISSN 0001-7701. - 49:10(2017), pp. 130.1-130.25.

Complete spacelike hypersurfaces in orthogonally splitted spacetimes

G. Colombo;M. Rigoli
2017

Abstract

We provide some "half-space theorems" for spacelike complete noncompact hypersurfaces into orthogonally splitted spacetimes. In particular we generalize some recent work of Rubio and Salamanca on maximal spacelike compact hypersurfaces. Beside compactness, we also relax some of their curvature assumptions and even consider the case of nonconstant mean curvature bounded from above. The analytic tools used in various arguments are based on some forms of the weak maximum principle.
CMC spacelike hypersurfaces; Orthogonally splitted spacetimes; Maximum principle; Parabolicity
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/530632
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