English

Generalized K\"ahler Einstein metrics and uniform stability for toric Fano manifolds

Differential Geometry 2017-08-04 v4

Abstract

We give a complete criterion for the existence of generalized K\"ahler Einstein metrics on toric Fano manifolds from view points of a uniform stability in a sense of GIT and the properness of a functional on the space of K\"ahler metrics.

Keywords

Cite

@article{arxiv.1706.01608,
  title  = {Generalized K\"ahler Einstein metrics and uniform stability for toric Fano manifolds},
  author = {Satoshi Nakamura},
  journal= {arXiv preprint arXiv:1706.01608},
  year   = {2017}
}

Comments

9 pages. Correction of the proof of Theorem 1.1