The Kähler-ricci flow on projective bundles

Jian Song, Gábor Székelyhidi, Ben Weinkove*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 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

Funding

This work was supported in part by an NSF CAREER grant DMS-08-47524 and a Sloan Fellowship (to J.S.) and by the NSF grant DMS-09-04223 (to G.S.), and by the NSF grants DMS-08-48193, DMS-11-05373 and a Sloan Fellowship (to B.W.).

ASJC Scopus subject areas

  • General Mathematics

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