The conical K\"ahler-Ricci flow with weak initial data on Fano manifold

Jiawei Liu; Xi Zhang

The conical K\"ahler-Ricci flow with weak initial data on Fano manifold

Differential Geometry 2016-05-30 v2 Analysis of PDEs

Authors: Jiawei Liu , Xi Zhang

Abstract

In this paper, we prove the long-time existence and uniqueness of the conical K\"ahler-Ricci flow with weak initial data which admits $L^{p}$ density for some $p>1$ on Fano manifold. Furthermore, we study the convergence behavior of this kind of flow.

Keywords

Kähler-Ricci flow conical metric weak initial data Fano manifold long-time existence uniqueness convergence

Cite

@article{arxiv.1601.00060,
  title  = {The conical K\"ahler-Ricci flow with weak initial data on Fano manifold},
  author = {Jiawei Liu and Xi Zhang},
  journal= {arXiv preprint arXiv:1601.00060},
  year   = {2016}
}

Comments

30 pages

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