Open Access
July 2017 Positively curved shrinking Ricci solitons are compact
Ovidiu Munteanu, Jiaping Wang
J. Differential Geom. 106(3): 499-505 (July 2017). DOI: 10.4310/jdg/1500084024

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.

Citation

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Ovidiu Munteanu. Jiaping Wang. "Positively curved shrinking Ricci solitons are compact." J. Differential Geom. 106 (3) 499 - 505, July 2017. https://doi.org/10.4310/jdg/1500084024

Information

Received: 25 April 2015; Published: July 2017
First available in Project Euclid: 15 July 2017

zbMATH: 06846958
MathSciNet: MR3680555
Digital Object Identifier: 10.4310/jdg/1500084024

Rights: Copyright © 2017 Lehigh University

Vol.106 • No. 3 • July 2017
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