A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds

2018/06/04 by Frederico Girão, Girão, Frederico, Diego Samuel Rodrigues +1
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1806.01120

Abstract

Using spinorial techniques, we prove, for a class of pseudo-hyperbolic ambient manifolds, a Heintze-Karcher type inequality. We then use this inequality to show an Alexandrov type theorem in such spaces.

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