%0 Journal Article
%T K£¿hler-Einstein metrics along the smooth continuity method
%A Ved Datar
%A G¨¢bor Sz¨¦kelyhidi
%J Mathematics
%D 2015
%I arXiv
%X We show that if a Fano manifold $M$ is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then $M$ admits a K\"ahler-Einstein metric. This is a strengthening of the solution of the Yau-Tian-Donaldson conjecture for Fano manifolds by Chen-Donaldson-Sun, and can be used to obtain new examples of K\"ahler-Einstein manifolds. We also give analogous results for twisted K\"ahler-Einstein metrics and Kahler-Ricci solitons.
%U http://arxiv.org/abs/1506.07495v1