Positively curved shrinking Ricci solitons are compact

Ovidiu Munteanu; Jiaping Wang

doi:10.4310/jdg/1500084024

Positively curved shrinking Ricci solitons are compact

Ovidiu Munteanu, Jiaping Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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)
Pages (from-to)	499-505
Number of pages	7
Journal	Journal of Differential Geometry
Volume	106
Issue number	3
DOIs	https://doi.org/10.4310/jdg/1500084024
State	Published - Jul 2017

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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.",

author = "Ovidiu Munteanu and Jiaping Wang",

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Positively curved shrinking Ricci solitons are compact

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