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arXiv · 1008.2794

Regularity results for pluriclosed flow

Jeff Streets·Gang Tian
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Abstract

In prior work the authors introduced a parabolic flow of pluriclosed metrics. Here we give improved regularity results for solutions to this equation. Furthermore, we exhibit this equation as the gradient flow of the lowest eigenvalue of a certain Schrödinger operator, and show the existence of an expanding entropy functional for this flow. Finally, we motivate a conjectural picture of the optimal regularity results for this flow, and discuss some of the consequences.

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Jeff Streets, Gang Tian. 2013-10-07. Regularity results for pluriclosed flow. https://arxiv.org/abs/1008.2794

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