Locally conformally Kähler solvmanifolds: a survey

A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds eq...

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Autores principales:	Andrada A., Origlia M.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	locally conformally kähler manifold solvable lie group solvmanifold 53b35 53a30 22e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9309c40cb3054cba94b7af84b59d4481
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id	oai:doaj.org-article:9309c40cb3054cba94b7af84b59d4481
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spelling	oai:doaj.org-article:9309c40cb3054cba94b7af84b59d44812021-12-02T16:36:59ZLocally conformally Kähler solvmanifolds: a survey2300-744310.1515/coma-2019-0003https://doaj.org/article/9309c40cb3054cba94b7af84b59d44812019-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0003https://doaj.org/toc/2300-7443A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds equipped with a Vaisman structure, that is, a LCK structure whose associated Lee form is parallel.Andrada A.Origlia M.De Gruyterarticlelocally conformally kähler manifoldsolvable lie groupsolvmanifold53b3553a3022e25MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 65-87 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	locally conformally kähler manifold solvable lie group solvmanifold 53b35 53a30 22e25 Mathematics QA1-939
spellingShingle	locally conformally kähler manifold solvable lie group solvmanifold 53b35 53a30 22e25 Mathematics QA1-939 Andrada A. Origlia M. Locally conformally Kähler solvmanifolds: a survey
description	A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results regarding the canonical bundle of solvmanifolds equipped with a Vaisman structure, that is, a LCK structure whose associated Lee form is parallel.
format	article
author	Andrada A. Origlia M.
author_facet	Andrada A. Origlia M.
author_sort	Andrada A.
title	Locally conformally Kähler solvmanifolds: a survey
title_short	Locally conformally Kähler solvmanifolds: a survey
title_full	Locally conformally Kähler solvmanifolds: a survey
title_fullStr	Locally conformally Kähler solvmanifolds: a survey
title_full_unstemmed	Locally conformally Kähler solvmanifolds: a survey
title_sort	locally conformally kähler solvmanifolds: a survey
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/9309c40cb3054cba94b7af84b59d4481
work_keys_str_mv	AT andradaa locallyconformallykahlersolvmanifoldsasurvey AT origliam locallyconformallykahlersolvmanifoldsasurvey
_version_	1718383645464461312

Locally conformally Kähler solvmanifolds: a survey

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