Rigidity theorems on hemispheres in non-positive space forms

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Abstract

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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Huang, L. H., & Wu, D. (2010). Rigidity theorems on hemispheres in non-positive space forms. Communications in Analysis and Geometry, 18(2), 339–363. https://doi.org/10.4310/CAG.2010.v18.n2.a3

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