Classification of solitons for pluriclosed flow on complex surfaces
Differential Geometry
2018-02-02 v1
Abstract
We give a classification of compact solitons for the pluriclosed flow on complex surfaces. First, by exploiting results from the Kodaira classification of surfaces, we show that the complex surface underlying a soliton must be K\"ahler except for the possibility of steady solitons on minimal Hopf surfaces. Then, we construct steady solitons on all class Hopf surfaces by exploiting a natural symmetry ansatz.
Cite
@article{arxiv.1802.00170,
title = {Classification of solitons for pluriclosed flow on complex surfaces},
author = {Jeffrey Streets},
journal= {arXiv preprint arXiv:1802.00170},
year = {2018}
}