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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De Gruyter
2017
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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) |
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DOAJ |
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EN |
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locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 Mathematics QA1-939 |
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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 |