Toric extremal Kähler-Ricci solitons are Kähler-Einstein

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

Bibliographic Details
Main Authors: Calamai Simone, Petrecca David
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2017-0012