15 January 2011 Ricci flow on quasi-projective manifolds
John Lott, Zhou Zhang
Author Affiliations +
Duke Math. J. 156(1): 87-123 (15 January 2011). DOI: 10.1215/00127094-2010-067

Abstract

We consider the Kähler-Ricci flow on complete finite-volume metrics that live on the complement of a divisor in a compact Kähler manifold X̲. Assuming certain spatial asymptotics on the initial metric, we compute the singularity time in terms of cohomological data on X̲. We also give a sufficient condition for the singularity, if there is one, to be type II.

Citation

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John Lott. Zhou Zhang. "Ricci flow on quasi-projective manifolds." Duke Math. J. 156 (1) 87 - 123, 15 January 2011. https://doi.org/10.1215/00127094-2010-067

Information

Published: 15 January 2011
First available in Project Euclid: 16 December 2010

zbMATH: 1248.53050
MathSciNet: MR2746389
Digital Object Identifier: 10.1215/00127094-2010-067

Subjects:
Primary: 53C44
Secondary: 32Q15

Rights: Copyright © 2011 Duke University Press

Vol.156 • No. 1 • 15 January 2011
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