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arXiv · 1811.04257

Rigidity for positively curved Alexandrov spaces with boundary

Jian Ge·Ronggang Li
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Abstract

Inspired by a recent work of Grove-Petersen in [GP18], where the authors studied Alexandrov spaces with largest possible boundary. We study Alexandrov spaces with lower curvature bound 1 and with small boundary. When the radius of X is \pi/2, and the boundary has diameter \pi/2, we classify the total space X.

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Jian Ge, Ronggang Li. 2018-11-10. Rigidity for positively curved Alexandrov spaces with boundary. https://arxiv.org/abs/1811.04257

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