Cusp K\"ahler-Ricci flow on compact K\"ahler manifold
Differential Geometry
2017-05-16 v1 Analysis of PDEs
Abstract
In this paper, by limiting twisted conical K\"ahler-Ricci flows, we prove the long-time existence and uniqueness of cusp K\"ahler-Ricci flow on compact K\"ahler manifold which carries a smooth hypersurface such that the twisted canonical bundle is ample. Furthermore, we prove that this flow converge to a unique cusp K\"ahler-Einstein metric.
Keywords
Cite
@article{arxiv.1705.05129,
title = {Cusp K\"ahler-Ricci flow on compact K\"ahler manifold},
author = {Jiawei Liu and Xi Zhang},
journal= {arXiv preprint arXiv:1705.05129},
year = {2017}
}