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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access December 22, 2017

Toric extremal Kähler-Ricci solitons are Kähler-Einstein

  • Simone Calamai and David Petrecca EMAIL logo
From the journal Complex Manifolds


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.

MSC 2010: 53C25; 53C55; 58D19


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Received: 2017-8-21
Accepted: 2017-11-23
Published Online: 2017-12-22
Published in Print: 2017-12-20

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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