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

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