Positively curved shrinking Ricci solitons are compact

Ovidiu Munteanu, Jiaping Wang

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


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 languageEnglish (US)
Pages (from-to)499-505
Number of pages7
JournalJournal of Differential Geometry
Issue number3
StatePublished - Jul 2017


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