|
|||||
|
|
Bounds on the fundamental groups with integral curvature bound |
|
| Authors: | Zisheng Hu Senlin Xu |
| Affiliation: | (1) School of Mathematics and Computing Science, Shenzhen University, Shenzhen, Guangdong, 518060, China;(2) School of Mathematics and Statistics, HuaZhong Normal University, Wuhan, Hubei, 430079, China;(3) Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, China |
| Abstract: | We extend the polynomial growth of the fundamental group, the first Betti number estimate and finiteness of fundamental groups of compact Riemannian manifolds from pointwise Ricci lower bound to integral Ricci lower bound, using a volume comparison for star-shaped domains. |
| Keywords: | Integral curvature Star-shaped domain Volume comparison Fundamental group |
| 本文献已被 SpringerLink 等数据库收录！ | |