Homogeneous Solutions of Pluriclosed Flow on Closed Complex Surfaces
Differential Geometry
2015-08-07 v2
Abstract
Streets and Tian introduced a parabolic flow of pluriclosed metrics. We classify the long time behavior of homogeneous solutions of this flow on closed complex surfaces including minimal Hopf, Inoue, Kodaira, and non-Kahler, properly elliptic surfaces. We also construct expanding soliton solutions to the flow on the universal covers of these surfaces by taking blowdown limits of these homogeneous solutions.
Keywords
Cite
@article{arxiv.1404.7106,
title = {Homogeneous Solutions of Pluriclosed Flow on Closed Complex Surfaces},
author = {Jess Boling},
journal= {arXiv preprint arXiv:1404.7106},
year = {2015}
}
Comments
19 pages, feedback welcome, minor corrections and format changes