English

The Mabuchi metric and the K\"ahler-Ricci flow

Differential Geometry 2011-07-06 v2

Abstract

In this paper we show that on a Fano manifold the convergence of the K\"ahler-Ricci flow to a K\"ahler-Einstein metric follows from the integrability of the L2L^2 norm of the Ricci potential for positive time.

Keywords

Cite

@article{arxiv.1104.5542,
  title  = {The Mabuchi metric and the K\"ahler-Ricci flow},
  author = {Donovan McFeron},
  journal= {arXiv preprint arXiv:1104.5542},
  year   = {2011}
}

Comments

8 pages, Corrected Typos, Added References