Radius estimates for Alexandrov space with boundary
Differential Geometry
2018-12-07 v1
Abstract
In this note, we study the radius of positively curved or non-negatively curved Alexandrov space with strictly convex boundary, with convexity measured by the Base-Angle defined by Alexander and Bishop. We also estimate the volume of the boundary of non-negatively curved spaces as well as the rigidity case, which can be thought as a non-negatively curved version of a recent result of Grove-Petersen.
Keywords
Cite
@article{arxiv.1812.02571,
title = {Radius estimates for Alexandrov space with boundary},
author = {Jian Ge and Ronggang Li},
journal= {arXiv preprint arXiv:1812.02571},
year = {2018}
}