학술논문
Rigidity for positively curved Alexandrov spaces with boundary
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Working Paper
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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.