Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups
Differential Geometry
2023-09-06 v1
Abstract
In this paper we prove that automorphisms are the only isometries between rank two Almost-Riemannian Structures on the class of nonnilpotent, solvable, connected 3D Lie groups. As a consequence, a classification result for rank two ARSs on the groups in question is obtained.
Cite
@article{arxiv.2309.01896,
title = {Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups},
author = {Victor Ayala and Adriano Da Silva and Danilo A. Garcia Hernández},
journal= {arXiv preprint arXiv:2309.01896},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2201.06414