A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds
classification
🧮 math.DG
keywords
inequalitymanifoldspseudo-hyperbolicspinorialtypealexandrovambientapproach
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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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