|
|||||
|
|
Growth of fundamental groups and isoembolic volume and diameter |
|
| Authors: | Oguz C Durumeric |
| Institution: | Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 |
| Abstract: | Some properties of fundamental groups of Riemannian manifolds |
| Keywords: | Isoembolic fundamental group |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |
will be studied without a lower bound assumption on Ricci curvature. The main method is to relate the local packing to global packing instead of using the Bishop-Gromov relative volume comparison. This method allows us to control the volume growth of the universal cover 
and yields bounds on the number of generators of 
in terms of some isoembolic geometric invariants of 
.