Cyclic Riemannian Lie groups: description and curvatures
Differential Geometry
2025-04-24 v1
Abstract
A cyclic Riemannian Lie group is a Lie group equipped with a left-invariant Riemannian metric that satisfies for any left-invariant vector fields . The initial concept and exploration of these Lie groups were presented in Monatsh. Math. \textbf{176} (2015), 219-239. This paper builds upon the results from the aforementioned study by providing a complete description of cyclic Riemannian Lie groups and an in-depth analysis of their various curvatures.
Cite
@article{arxiv.2504.16759,
title = {Cyclic Riemannian Lie groups: description and curvatures},
author = {Fatima-Ezzahrae Abid and Said Benayadi and Mohamed Boucetta and Hamza El Ouali and Hicham Lebzioui},
journal= {arXiv preprint arXiv:2504.16759},
year = {2025}
}