2015/06/24 by Datar, Ved, Székelyhidi, Gábor · 1 citation
#53C55 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1506.07495
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 Kähler-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 Kähler-Einstein manifolds. We also give analogous results for twisted Kähler-Einstein metrics and Kahler-Ricci solitons.