Journal article
On curvature pinching of conic 2-spheres
Calculus of variations and partial differential equations, Vol.55(5), pp.1-16
10/01/2016
DOI: 10.1007/s00526-016-1050-3
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.
Details
- Title: Subtitle
- On curvature pinching of conic 2-spheres
- Creators
- Hao Fang - University of IowaMijia Lai - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- Calculus of variations and partial differential equations, Vol.55(5), pp.1-16
- Publisher
- SPRINGER HEIDELBERG
- DOI
- 10.1007/s00526-016-1050-3
- ISSN
- 0944-2669
- eISSN
- 1432-0835
- Number of pages
- 16
- Grant note
- 15YF1406200 / Shanghai Sailing Program DMS-100829 / NSF 11501360 / NSFC
- Language
- English
- Date published
- 10/01/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240873302771
Metrics
12 Record Views