Ricci-flat and Einstein pseudoriemannian nilmanifolds

This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nil...

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Autores principales:	Conti Diego, Rossi Federico A.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	einstein pseudoriemannian metrics nilpotent lie groups nice lie algebras 53c25 53c50 53c30 22e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/46142a42cedf44f5bed62d3e82f768d4
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id	oai:doaj.org-article:46142a42cedf44f5bed62d3e82f768d4
record_format	dspace
spelling	oai:doaj.org-article:46142a42cedf44f5bed62d3e82f768d42021-12-02T16:36:59ZRicci-flat and Einstein pseudoriemannian nilmanifolds2300-744310.1515/coma-2019-0010https://doaj.org/article/46142a42cedf44f5bed62d3e82f768d42019-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0010https://doaj.org/toc/2300-7443This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.Conti DiegoRossi Federico A.De Gruyterarticleeinstein pseudoriemannian metricsnilpotent lie groupsnice lie algebras53c2553c5053c3022e25MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 170-193 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	einstein pseudoriemannian metrics nilpotent lie groups nice lie algebras 53c25 53c50 53c30 22e25 Mathematics QA1-939
spellingShingle	einstein pseudoriemannian metrics nilpotent lie groups nice lie algebras 53c25 53c50 53c30 22e25 Mathematics QA1-939 Conti Diego Rossi Federico A. Ricci-flat and Einstein pseudoriemannian nilmanifolds
description	This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group. Classifications of special classes of Ricci-˛at metrics on nilpotent Lie groups of dimension [eight.tf] are obtained. Some related open questions are presented.
format	article
author	Conti Diego Rossi Federico A.
author_facet	Conti Diego Rossi Federico A.
author_sort	Conti Diego
title	Ricci-flat and Einstein pseudoriemannian nilmanifolds
title_short	Ricci-flat and Einstein pseudoriemannian nilmanifolds
title_full	Ricci-flat and Einstein pseudoriemannian nilmanifolds
title_fullStr	Ricci-flat and Einstein pseudoriemannian nilmanifolds
title_full_unstemmed	Ricci-flat and Einstein pseudoriemannian nilmanifolds
title_sort	ricci-flat and einstein pseudoriemannian nilmanifolds
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/46142a42cedf44f5bed62d3e82f768d4
work_keys_str_mv	AT contidiego ricciflatandeinsteinpseudoriemanniannilmanifolds AT rossifedericoa ricciflatandeinsteinpseudoriemanniannilmanifolds
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Ricci-flat and Einstein pseudoriemannian nilmanifolds

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