Locally conformally product structures on solvmanifolds

Adrián Andrada, Viviana del Barco, Andrei Moroianu

Published 2023-02-03Version 1

We study left invariant locally conformally product structures on simply connected Lie groups and give their complete description in the solvable unimodular case. Based on previous classification results, we then obtain the complete list of solvable unimodular Lie algebras up to dimension 5 which carry LCP structures, and study the existence of lattices in the corresponding simply connected Lie groups.