Kähler-ricci Solitons on Toric Manifolds with Positive First Chern Class

  title={K{\"a}hler-ricci Solitons on Toric Manifolds with Positive First Chern Class},
  author={Xu-Jia Wang and Xiaohua Zhu},
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 invariant vanishes. 
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