Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures

ANDRADA, A.; ORIGLIA, M.

MANUSCRIPTA MATHEMATICA

SPRINGER

Año: 2018 vol. 155 p. 389 - 417

0025-2611

We study the existence of lattices in almost abelian Lie groups that admit left invariant locally conformal Kähler or locally conformal symplectic structures in order to obtain compact solvmanifolds equipped with these geometric structures. In the former case, we show that such lattices exist only in dimension 4, while in the latter case we provide examples of such Lie groups admitting lattices in any even dimension.