Rigidity theorems on hemispheres in non-positive space forms

Lan-Hsuan Huang; Damin Wu

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arXiv · 0907.5549

Rigidity theorems on hemispheres in non-positive space forms

Lan-Hsuan Huang·Damin Wu

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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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Lan-Hsuan Huang, Damin Wu. 2010-10-18. Rigidity theorems on hemispheres in non-positive space forms. https://arxiv.org/abs/0907.5549

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