Kähler-Ricci solitons on horospherical variety

Abstract

In this paper, we extend the result about the existence of Kähler-Ricci soliton on toric manifold (proved by Wang and Zhy) by proving this existence on horospherical varieties using the continuity method.

References in corpus (5)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• K-Stability of Fano spherical varieties
• Kähler-Einstein metrics on group compactifications
• Kähler-Ricci flow on a toric manifold with positive first Chern class
• Kähler-Ricci flow on homogeneous toric bundles

Cited by in corpus (3)

• Weighted K-stability and coercivity with applications to extremal Kahler and Sasaki metrics
• The moduli space of Fano manifolds with Kähler-Ricci solitons
• Kähler-Ricci flow on horospherical manifold