Locally conformally product structures on solvmanifolds
Adri\'an Andrada, Viviana del Barco, Andrei Moroianu
TL;DR
This paper classifies locally conformally product structures on solvable unimodular Lie groups, providing a complete list of such structures up to dimension 5 and analyzing lattice existence.
Contribution
It offers a comprehensive classification of LCP structures on solvable unimodular Lie groups and identifies conditions for lattice existence in these groups.
Findings
Complete classification of LCP structures up to dimension 5
Identification of solvable unimodular Lie algebras with LCP structures
Analysis of lattice existence in corresponding Lie groups
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Geometric and Algebraic Topology · Geometric Analysis and Curvature Flows