Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups
Differential Geometry
2026-04-02 v3
Abstract
We classify, up to automorphism, left invariant Riemannian metrics on 4-dimensional simply connected nonunimodular Lie groups. This is equivalent to classifying, up to automorphism, inner products on 4-dimensional nonunimodular Lie algebras.
Keywords
Cite
@article{arxiv.2501.01503,
title = {Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups},
author = {Malika Ait Ben Haddou and Youssef Ayad},
journal= {arXiv preprint arXiv:2501.01503},
year = {2026}
}