Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups

Victor Ayala; Adriano Da Silva; Danilo A. Garcia Hernández

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arXiv · 2309.01896

Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups

Victor Ayala·Adriano Da Silva·Danilo A. Garcia Hernández

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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.

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Victor Ayala, Adriano Da Silva, Danilo A. Garcia Hernández. 2023-09-05. Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups. https://arxiv.org/abs/2309.01896

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