Vaisman metrics on solvmanifolds and Oeljeklaus–Toma manifolds

By H. Kasuya. 2012

72 citations recorded by the source corpus.

We prove the non‐existence of Vaisman metrics on some solvmanifolds with left‐invariant complex structures. By this theorem, we show that Oeljeklaus–Toma manifolds do not admit Vaisman metrics.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6fbe1b1287770a34e1d106b7911b618d24cd8e1d

Citations in the corpus

• Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures (2016, unknown): “In [22] it is proved that some solvmanifolds with left invariant complex structures do not admit Vaisman metrics, i.”