Compact maximal hypersurfaces in stably causal spacetimes
Rafael M. Rubio, Juan J. Salamanca
TL;DR
This paper establishes uniqueness results for compact maximal hypersurfaces in stably causal spacetimes using a special function, with implications for geometric analysis.
Contribution
It introduces new uniqueness theorems for maximal hypersurfaces in a broad class of spacetimes based on a distinguished function and natural conditions.
Findings
Uniqueness results for compact maximal hypersurfaces in stably causal spacetimes.
Application of the results to problems in geometric analysis.
Abstract
Several uniqueness results on compact maximal hypersurfaces in a wide class of sta- bly causal spacetimes are given. They are obtained from the study of a distinguished function on the maximal hypersurface, under suitable natural first order conditions of the spacetime. As a consequence several applications to Geometric Analysis are given.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds