Abstract
We show that a shrinking Ricci soliton with positive sectional curvature must be compact. This extends a result of Perelman in dimension three and improves a result of Naber in dimension four, respectively.
Original language | English (US) |
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Pages (from-to) | 499-505 |
Number of pages | 7 |
Journal | Journal of Differential Geometry |
Volume | 106 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2017 |