Locally conformally Kähler structures on four-dimensional solvable Lie algebras

We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpret...

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Autores principales:	Angella Daniele, Origlia Marcos
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	locally conformally kähler solvable lie algebra 53b35 53a30 22e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4acd3a9a9ba24ea58009cf441fac80a1
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spelling	oai:doaj.org-article:4acd3a9a9ba24ea58009cf441fac80a12021-12-02T15:08:24ZLocally conformally Kähler structures on four-dimensional solvable Lie algebras2300-744310.1515/coma-2020-0001https://doaj.org/article/4acd3a9a9ba24ea58009cf441fac80a12019-11-01T00:00:00Zhttp://www.degruyter.com/view/j/coma.2020.7.issue-1/coma-2020-0001/coma-2020-0001.xml?format=INThttps://doaj.org/toc/2300-7443We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification.Angella DanieleOriglia MarcosDe Gruyterarticlelocally conformally kählersolvable lie algebra53b3553a3022e25MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 1-35 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	locally conformally kähler solvable lie algebra 53b35 53a30 22e25 Mathematics QA1-939
spellingShingle	locally conformally kähler solvable lie algebra 53b35 53a30 22e25 Mathematics QA1-939 Angella Daniele Origlia Marcos Locally conformally Kähler structures on four-dimensional solvable Lie algebras
description	We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification.
format	article
author	Angella Daniele Origlia Marcos
author_facet	Angella Daniele Origlia Marcos
author_sort	Angella Daniele
title	Locally conformally Kähler structures on four-dimensional solvable Lie algebras
title_short	Locally conformally Kähler structures on four-dimensional solvable Lie algebras
title_full	Locally conformally Kähler structures on four-dimensional solvable Lie algebras
title_fullStr	Locally conformally Kähler structures on four-dimensional solvable Lie algebras
title_full_unstemmed	Locally conformally Kähler structures on four-dimensional solvable Lie algebras
title_sort	locally conformally kähler structures on four-dimensional solvable lie algebras
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/4acd3a9a9ba24ea58009cf441fac80a1
work_keys_str_mv	AT angelladaniele locallyconformallykahlerstructuresonfourdimensionalsolvableliealgebras AT origliamarcos locallyconformallykahlerstructuresonfourdimensionalsolvableliealgebras
_version_	1718388119231791104

Locally conformally Kähler structures on four-dimensional solvable Lie algebras

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