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<p>In this paper, we show that automorphisms are the only isometries between rank-two almost-Riemannian structures on non-nilpotent, solvable, connected 3D Lie groups. As a consequence, we obtain a classification of rank-two almost-Riemannian structures on these groups.</p>

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Isometries of Almost-Riemannian Structures on Non-nilpotent, Solvable 3D Lie Groups

  • 期刊论文

  • 发表日期：

    2025年7月5日

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  • Víctor Ayala,
  • Adriano Da Silva,
  • Danilo A. García Hernández

摘要

In this paper, we show that automorphisms are the only isometries between rank-two almost-Riemannian structures on non-nilpotent, solvable, connected 3D Lie groups. As a consequence, we obtain a classification of rank-two almost-Riemannian structures on these groups.