Abstract
In [27] 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2389-2429 |
| Number of pages | 41 |
| Journal | Geometry and Topology |
| Volume | 17 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 22 2013 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
Keywords
- Geometric flow
- Hermitian geometry