Kahler-Ricci solitons on toric manifolds with positive first Chern class

Wang, Xu-Jia; Zhu, Xiaohua

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Kahler-Ricci solitons on toric manifolds with positive first Chern class

Date

2004

Authors

Wang, Xu-Jia

Zhu, Xiaohua

Publisher

Academic Press

Abstract

In this paper we prove there exists a Kähler - Ricci soliton, unique up to holomorphic automorphisms, on any toric Kähler manifold with positive first Chern class, and the Kähler - Ricci soliton is a Kähler - Einstein metric if and only if the Futaki