English

Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow

Differential Geometry 2007-05-23 v2 Complex Variables

Abstract

We explain a characterization of Einstein-Fano manifolds in terms of the lower bound of the density of the volume of the K\"ahler-Ricci Flow. This is a direct consequence of Perelman's uniform estimate for the K\"ahler-Ricci Flow and a C0C^0 estimate of Tian and Zhu.

Keywords

Cite

@article{arxiv.math/0607581,
  title  = {Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow},
  author = {Nefton Pali},
  journal= {arXiv preprint arXiv:math/0607581},
  year   = {2007}
}

Comments

27 pages, reason for replacement: an error has been corrected