Weak Solutions of the Chern-Ricci flow on compact complex surfaces
Differential Geometry
2017-01-19 v1
Abstract
In this note, we prove the existence of weak solutions of the Chern-Ricci flow through blow downs of exceptional curves, as well as backwards smooth convergence away from the exceptional curves on compact complex surfaces. The smoothing property for the Chern-Ricci flow is also obtained on compact Hermitian manifolds of dimension n under a mild assumption.
Keywords
Cite
@article{arxiv.1701.04965,
title = {Weak Solutions of the Chern-Ricci flow on compact complex surfaces},
author = {Xiaolan Nie},
journal= {arXiv preprint arXiv:1701.04965},
year = {2017}
}
Comments
21 pages