Toric extremal Kähler-Ricci solitons are Kähler-Einstein-Reference-Cited by-同舟云学术

Toric extremal Kähler-Ricci solitons are Kähler-Einstein

Published:2017-12-20 Issue:1 Volume:4 Page:179-182
ISSN:2300-7443
Container-title:Complex Manifolds
language:
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Author:

Calamai Simone¹,Petrecca David²

Affiliation:

1. 1Dip. di Matematica e Informatica “U. Dini” - Università di Firenze, Viale Morgagni 67A, Firenze, Italy

2. 2Institut für Differentialgeometrie - Leibniz Universität Hannover, Welfengarten 1, Hanover, Germany

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/4/1/article-p179.xml

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