The Kähler-Ricci flow on projective bundles

Details The Kähler-Ricci flow on projective bundles The Kähler-Ricci flow on projective bundles

2011-07-11

arxiv.org/abs/1107.2144v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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

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