Compact maximal hypersurfaces in globally hyperbolic spacetimes
Aledo, Juan A.
Rubio, Rafael M.
Salamanca, Juan J.
Globally hyperbolic spacetime
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Several uniqueness results on compact maximal hypersurfaces in a wide class of globally hyperbolic spacetimes are provided. They are obtained from the study of a distinguished function on the maximal hypersurface and under suitable natural _rst order conditions of the spacetime. As a consequence, several applications to Geometric Analysis are given.