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When does gradient Ricci soliton have one end?

Authors :
Qu, Yuanyuan
Wu, Guoqiang
Source :
Annals of Global Analysis & Geometry; Oct2022, Vol. 62 Issue 3, p679-691, 13p
Publication Year :
2022

Abstract

Suppose (M n , g , f) is a complete shrinking gradient Ricci soliton. Assume that | R i c | < n - 2 2 n , where n ≥ 3 , then it has only one end. Similar results hold for the expanding gradient Ricci soliton. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0232704X
Volume :
62
Issue :
3
Database :
Complementary Index
Journal :
Annals of Global Analysis & Geometry
Publication Type :
Academic Journal
Accession number :
159159857
Full Text :
https://doi.org/10.1007/s10455-022-09868-8