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Toric extremal Kaehler-Ricci solitons are Kaehler-Einstein

2017/08/21 by Simone Calamai, Calamai, Simone, David Petrecca +1
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1708.06256

Abstract

In this short note, we prove that a Calabi extremal Kaehler-Ricci soliton on a compact toric Kaehler manifold is Einstein. This solves for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.

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