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Positively curved shrinking Ricci solitons are compact

Published 29 Apr 2015 in math.DG and math.AP | (1504.07898v1)

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.

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Authors (2)

  1. Ovidiu Munteanu 
  2. Jiaping Wang 

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