2022年3月
Asymptotic topological regularity of CAT(0) spaces
Annals of Global Analysis and Geometry
- 巻
- 61
- 号
- 2
- 開始ページ
- 427
- 終了ページ
- 457
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s10455-021-09820-2
- 出版者・発行元
- SPRINGER
We study asymptotic topological regularity of CAT(0) spaces. We prove that if a purely n-dimensional, proper, geodesically completeCAT(0) space has small volume growth, then it is homeomorphic to the n-dimensional Euclidean space. We also discuss asymptotic geometry of proper, geodesically complete CAT(0) spaces of small volume growth.
- ID情報
-
- DOI : 10.1007/s10455-021-09820-2
- ISSN : 0232-704X