Kähler-Ricci flow on horospherical manifold

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.

arXiv admin note: text overlap with arXiv:1710.05623

References in corpus (4)

• Tian's properness conjectures and Finsler geometry of the space of Kahler metrics
• K-Stability of Fano spherical varieties
• Kähler-Ricci solitons on horospherical variety
• Kähler-Ricci flow on homogeneous toric bundles