Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Bazzoni Giovanni, Marrero Juan Carlos
Format:	article
Langue:	EN
Publié:	De Gruyter 2017
Sujets:	locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

id	oai:doaj.org-article:f3f883313e8e43d987c16d13c0b99ff1
record_format	dspace
spelling	oai:doaj.org-article:f3f883313e8e43d987c16d13c0b99ff12021-12-02T19:08:48ZLocally conformal symplectic nilmanifolds with no locally conformal Kähler metrics2300-744310.1515/coma-2017-0011https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff12017-11-01T00:00:00Zhttps://doi.org/10.1515/coma-2017-0011https://doaj.org/toc/2300-7443We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.Bazzoni GiovanniMarrero Juan CarlosDe Gruyterarticlelocally conformal symplectic manifoldslocally conformal kähler manifoldscompact nilmanifolds53d0553c55MathematicsQA1-939ENComplex Manifolds, Vol 4, Iss 1, Pp 172-178 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 Mathematics QA1-939
spellingShingle	locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 Mathematics QA1-939 Bazzoni Giovanni Marrero Juan Carlos Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
description	We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.
format	article
author	Bazzoni Giovanni Marrero Juan Carlos
author_facet	Bazzoni Giovanni Marrero Juan Carlos
author_sort	Bazzoni Giovanni
title	Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
title_short	Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
title_full	Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
title_fullStr	Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
title_full_unstemmed	Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
title_sort	locally conformal symplectic nilmanifolds with no locally conformal kähler metrics
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1
work_keys_str_mv	AT bazzonigiovanni locallyconformalsymplecticnilmanifoldswithnolocallyconformalkahlermetrics AT marrerojuancarlos locallyconformalsymplecticnilmanifoldswithnolocallyconformalkahlermetrics
_version_	1718377184803946496

Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

Documents similaires