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.

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Autores principales:	Calamai Simone, Petrecca David
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2017
Materias:	extremal kähler metrics kähler-ricci solitons einstein manifolds toric manifolds 53c25 53c55 58d19 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c8279ce7532948f68e31a4eafc168509
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id	oai:doaj.org-article:c8279ce7532948f68e31a4eafc168509
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spelling	oai:doaj.org-article:c8279ce7532948f68e31a4eafc1685092021-12-02T16:36:59ZToric extremal Kähler-Ricci solitons are Kähler-Einstein2300-744310.1515/coma-2017-0012https://doaj.org/article/c8279ce7532948f68e31a4eafc1685092017-12-01T00:00:00Zhttps://doi.org/10.1515/coma-2017-0012https://doaj.org/toc/2300-7443In 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.Calamai SimonePetrecca DavidDe Gruyterarticleextremal kähler metricskähler-ricci solitonseinstein manifoldstoric manifolds53c2553c5558d19MathematicsQA1-939ENComplex Manifolds, Vol 4, Iss 1, Pp 179-182 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	extremal kähler metrics kähler-ricci solitons einstein manifolds toric manifolds 53c25 53c55 58d19 Mathematics QA1-939
spellingShingle	extremal kähler metrics kähler-ricci solitons einstein manifolds toric manifolds 53c25 53c55 58d19 Mathematics QA1-939 Calamai Simone Petrecca David Toric extremal Kähler-Ricci solitons are Kähler-Einstein
description	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.
format	article
author	Calamai Simone Petrecca David
author_facet	Calamai Simone Petrecca David
author_sort	Calamai Simone
title	Toric extremal Kähler-Ricci solitons are Kähler-Einstein
title_short	Toric extremal Kähler-Ricci solitons are Kähler-Einstein
title_full	Toric extremal Kähler-Ricci solitons are Kähler-Einstein
title_fullStr	Toric extremal Kähler-Ricci solitons are Kähler-Einstein
title_full_unstemmed	Toric extremal Kähler-Ricci solitons are Kähler-Einstein
title_sort	toric extremal kähler-ricci solitons are kähler-einstein
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/c8279ce7532948f68e31a4eafc168509
work_keys_str_mv	AT calamaisimone toricextremalkahlerriccisolitonsarekahlereinstein AT petreccadavid toricextremalkahlerriccisolitonsarekahlereinstein
_version_	1718383657755869184

Toric extremal Kähler-Ricci solitons are Kähler-Einstein

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