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

By Adrián Andrada, M. Origlia. 2016

46 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/887112b9a884297450c9235cd15d2b72e122156a

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In Applied Mathematics

1. Fabio Paradiso
2. Anna Fino
3. L. Ugarte
4. Luigi Vezzoni
5. Adriano Tomassini

In Geometry and Topology

1. Fabio Paradiso
2. Anna Fino
3. L. Ugarte
4. Luigi Vezzoni
5. Adriano Tomassini

Citations in the corpus

• Balanced Hermitian structures on almost abelian Lie algebras (2020, methodology): “LCK almost abelian Lie algebras were characterized in [4]: a Hermitian almost abelian Lie algebra (g(a, v, A), J, g) of real dimension 2n is LCK if and only if (2.”