On curvature pinching of conic 2-spheres
Differential Geometry
2016-04-12 v2 Analysis of PDEs
Abstract
We study metrics on conic 2-spheres when no Einstein metrics exist. In particular, when the curvature of a conic metric is positive, we obtain the best curvature pinching constant. We also show that when this best pinching constant is approached, the conic 2-sphere has an explicit Gromov-Hausdorff limit. This is a generalization of the previous results of Chen-Lin and Bartolucci for 2-spheres with one or two conic points.
Keywords
Cite
@article{arxiv.1506.05901,
title = {On curvature pinching of conic 2-spheres},
author = {Hao Fang and Mijia Lai},
journal= {arXiv preprint arXiv:1506.05901},
year = {2016}
}
Comments
19 pages, 0 figure. Revision to fix some argument and typos