Rigidity for positively curved Alexandrov spaces with boundary
Differential Geometry
2018-11-13 v1
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.
Keywords
Cite
@article{arxiv.1811.04257,
title = {Rigidity for positively curved Alexandrov spaces with boundary},
author = {Jian Ge and Ronggang Li},
journal= {arXiv preprint arXiv:1811.04257},
year = {2018}
}