401. On curvature pinching of conic 2-spheres
- Author
-
Fang, Hao and Lai, Mijia
- Subjects
Mathematics - Differential Geometry ,Mathematics - Analysis of PDEs ,58J05, 53C20 - 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., Comment: 19 pages, 0 figure. Revision to fix some argument and typos
- Published
- 2015