Almost-Riemannian Structures on nonnilpotent, solvable 3D Lie groups
Optimization and Control
2023-08-09 v2
Abstract
In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, conneted 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.
Keywords
Cite
@article{arxiv.2201.06414,
title = {Almost-Riemannian Structures on nonnilpotent, solvable 3D Lie groups},
author = {Victor Ayala and Danilo A. García Hernández and Adriano Da Silva},
journal= {arXiv preprint arXiv:2201.06414},
year = {2023}
}