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.

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Autores principales: Bazzoni Giovanni, Marrero Juan Carlos
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2017
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Acceso en línea:https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1
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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
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