Structure theorem for Vaisman completely solvable solvmanifolds. (English) Zbl 1358.53076
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.
MSC:
| 53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
| 17B30 | Solvable, nilpotent (super)algebras |
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