The Calabi flow with small initial energy

Valentino Tosatti*, Ben Weinkove

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We show that on Kahler manifolds M with c1(M) = 0 the Calabi flow converges to a constant scalar curvature metric if the initial Calabi energy is sufficiently small. We prove a similar result on manifolds with c 1(M) < 0 if the Kähler class is close to the canonical class.

Original languageEnglish (US)
Pages (from-to)1033-1039
Number of pages7
JournalMathematical Research Letters
Volume14
Issue number5-6
DOIs
StatePublished - 2007

ASJC Scopus subject areas

  • Mathematics(all)

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