Locally conformally product structures on solvmanifolds
Differential Geometry
2024-12-25 v3
Abstract
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.
Cite
@article{arxiv.2302.01801,
title = {Locally conformally product structures on solvmanifolds},
author = {Adrián Andrada and Viviana del Barco and Andrei Moroianu},
journal= {arXiv preprint arXiv:2302.01801},
year = {2024}
}
Comments
34 pages, final version, to appear in Ann. Mat. Pura Appl