A note on K\"ahler-Ricci soliton
Differential Geometry
2009-06-21 v3 Algebraic Geometry
Abstract
In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the K\"ahler-Ricci flow.
Keywords
Cite
@article{arxiv.0806.2848,
title = {A note on K\"ahler-Ricci soliton},
author = {Xiuxiong Chen and Song Sun and Gang Tian},
journal= {arXiv preprint arXiv:0806.2848},
year = {2009}
}
Comments
A lemma added; an error corrected