The Kähler-ricci flow on projective bundles

Jian Song, Gábor Székelyhidi, Ben Weinkove*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We study the behavior of the Kähler-Ricci flow on projective bundles. We show that if the initial metric is in a suitable Kähler class, then the fibers collapse in finite time and the metrics converge subsequentially in the Gromov-Hausdorff sense to a metric on the base.

Original languageEnglish (US)
Pages (from-to)243-257
Number of pages15
JournalInternational Mathematics Research Notices
Volume2013
Issue number2
DOIs
StatePublished - Jan 1 2013

ASJC Scopus subject areas

  • Mathematics(all)

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