Kähler-Ricci flow on horospherical manifold

2019/07/15 by Delgove, François
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.07112

Abstract

In this paper, we prove the existence of a Kahler Ricci soliton on any smooth Fano horospherical manifold by a study of the Kahler-Ricci flow. Indeed, we prove that the renormalized Kahler Ricci flow converges in the sense of Cheeger Gromov and that this limit is a Kahler-Ricci soliton.

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