Rigidity theorems on hemispheres in non-positive space forms
classification
🧮 math.DG
math.AP
keywords
spacecharacterizesconditionconjecturecurvatureeuclideanformshemisphere
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We study the curvature condition which uniquely characterizes the hemisphere. In particular, we prove the Min-Oo conjecture for hypersurfaces in Euclidean space and hyperbolic space.
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