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20132025
most citedAlmost-Riemannian Structures on nonnilpotent, solvable 3D Lie groups

4 citations · 14 across the 18 of their papers we have counts for

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math.DG2023

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

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

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…

math.DG2015

Almost-Riemannian Geometry on Lie Groups

Victor Ayala, Philippe Jouan

A simple Almost-Riemmanian Structure on a Lie group G is defined by a linear vector field and dim(G)-1 left-invariant ones. We state results about the singular locus, the abnormal…