Some properties of non-compact complete Riemannian manifolds | |
Ma, L | |
2010-05-06 ; 2010-05-06 | |
关键词 | volume growth gradient estimate Ricci soliton GEOMETRY Mathematics, Applied |
中文摘要 | In this paper, we study the volume growth property of a non-compact complete Riemannian manifold M. We improve the volume growth theorem of Calabi (1975) and Yau (1976), Cheeger, Gromov and Taylor (1982). Then we use our new result to study gradient Ricci solitons. We also show that on M, for any q is an element of (0, infinity), every non-negative L-q subharmonic function is constant under a natural decay condition on the Ricci curvature. (c) 2006 Elsevier SAS. All rights reserved. |
语种 | 英语 ; 英语 |
出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER ; PARIS ; 23 RUE LINOIS, 75015 PARIS, FRANCE |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/13787] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Ma, L. Some properties of non-compact complete Riemannian manifolds[J],2010, 2010. |
APA | Ma, L.(2010).Some properties of non-compact complete Riemannian manifolds.. |
MLA | Ma, L."Some properties of non-compact complete Riemannian manifolds".(2010). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论