Regularity results for pluriclosed flow
Differential Geometry
2013-10-08 v2 Complex Variables
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 Schr\"odinger 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.
Cite
@article{arxiv.1008.2794,
title = {Regularity results for pluriclosed flow},
author = {Jeff Streets and Gang Tian},
journal= {arXiv preprint arXiv:1008.2794},
year = {2013}
}
Comments
Final version, to appear in Geometry and Topology