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arXiv · 0711.4595

A Rigidity Theorem for the Hemisphere

Fengbo Hang·Xiaodong Wang
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Abstract

We prove the following rigidity theorem: For an n-dimensional compact Riemannian manifold with boundary whose Ricci curvature is bounded by n-1 from below, if its boundary is isometric to the standard sphere of dimension n-1 and totally geodesic, then the manifold is isometric to the standard hemisphere.

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Fengbo Hang, Xiaodong Wang. 2007-12-03. A Rigidity Theorem for the Hemisphere. https://arxiv.org/abs/0711.4595

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