Relative Volume Comparison with Integral Curvature Bounds |
| |
| Authors: | P. Petersen G. Wei |
| |
| Affiliation: | (1) Peter Petersen, Department of Mathematics, University of California, Los Angeles, CA 90095, USA, e-mail: petersen@math.ucla.edu, US;(2) Guofang Wei, Department of Mathematics, University of California, Santa Barbara, CA 93106, USA, e-mail: wei@math.ucsb.edu, US |
| |
| Abstract: | In this paper we shall generalize the Bishop-Gromov relative volume comparison estimate to a situation where one only has an integral bound for the part of the Ricci curvature which lies below a given number. This will yield several compactness and pinching theorems. Submitted: August 1996, revised: July 1997 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
