Structure theorem for Vaisman completely solvable solvmanifolds

Locally conformal Kähler manifold is said to be a Vaisman manifold if the Lee form is parallel with respect to the Riemannian metric. In this paper, we have the structure theorem for Vaisman completely solvable solvmanifolds.

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Bibliographic Details
Published in:Journal of geometry and physics 2017-04, Vol.114, p.581-586
Main Author: Sawai, Hiroshi
Format: Article
Language:English
Subjects:
Locally conformal Kähler manifold
Solvmanifold
Vaisman manifold
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Summary:Locally conformal Kähler manifold is said to be a Vaisman manifold if the Lee form is parallel with respect to the Riemannian metric. In this paper, we have the structure theorem for Vaisman completely solvable solvmanifolds.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2017.01.002