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arXiv · 1002.2814

Rigidity of area-minimizing two-spheres in three-manifolds

H. Bray·S. Brendle·A. Neves
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Abstract

We give a sharp upper bound for the area of a minimal two-sphere in a three-manifold (M,g) with positive scalar curvature. If equality holds, we show that the universal cover of (M,g) is isometric to a cylinder.

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H. Bray, S. Brendle, A. Neves. 2010-02-15. Rigidity of area-minimizing two-spheres in three-manifolds. https://arxiv.org/abs/1002.2814

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