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 language | English (US) |
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Pages (from-to) | 243-257 |
Number of pages | 15 |
Journal | International Mathematics Research Notices |
Volume | 2013 |
Issue number | 2 |
DOIs | |
State | Published - 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