A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold

The purpose of this paper is to determine a locally conformal Kähler solvmanifold such that its associated solvable Lie group is a one-dimensional extension of a 2-step nilpotent Lie group.

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Bibliographic Details
Published in:Differential geometry and its applications 2024-10, Vol.96, p.102174, Article 102174
Main Author: Sawai, Hiroshi
Format: Article
Language:English
Subjects:
Inoue surface
Locally conformal Kähler structure
Solvmanifold
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Description
Summary:The purpose of this paper is to determine a locally conformal Kähler solvmanifold such that its associated solvable Lie group is a one-dimensional extension of a 2-step nilpotent Lie group.
ISSN:0926-2245
DOI:10.1016/j.difgeo.2024.102174