Vaisman nilmanifolds

It is proved that a compact nilmanifold endowed with a Vaisman structure is the product of N with S1, where N is a nilmanifold quotient of the Heisenberg group.

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Bibliographic Details
Published in:The Bulletin of the London Mathematical Society 2017-10, Vol.49 (5), p.824-830
Main Author: Bazzoni, Giovanni
Format: Article
Language:English
Subjects:
53C55
53D35 (primary)
55P62
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Description
Summary:It is proved that a compact nilmanifold endowed with a Vaisman structure is the product of N with S1, where N is a nilmanifold quotient of the Heisenberg group.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.12073