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arXiv · 1107.2144

The K\"ahler-Ricci flow on projective bundles

Jian Song·Gábor Székelyhidi·Ben Weinkove
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Abstract

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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Jian Song, Gábor Székelyhidi, Ben Weinkove. 2011-07-11. The K\"ahler-Ricci flow on projective bundles. https://arxiv.org/abs/1107.2144

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