Fano manifolds with nef tangent bundles are weakly almost K{\"a}hler-Einstein
Complex Variables
2018-02-07 v2
Abstract
The goal of this short note is to point out that every Fano manifold with a nef tangent bundle possesses an almost K{\"a}hler-Einstein metric, in a weak sense. The technique relies on a regularization theorem for closed positive (1, 1)-currents. We also discuss related semistability questions and Chern inequalities.
Keywords
Cite
@article{arxiv.1712.03725,
title = {Fano manifolds with nef tangent bundles are weakly almost K{\"a}hler-Einstein},
author = {Jean-Pierre Demailly},
journal= {arXiv preprint arXiv:1712.03725},
year = {2018}
}