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

Author

Listed:
  • Víctor Ayala

    (Instituto de Alta Investigación, Universidad de Tarapacá)

  • Adriano Da Silva

    (Universidad de Tarapacá)

  • Danilo A. García Hernández

    (Universidade Estadual de Campinas)

Abstract

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.

Suggested Citation

  • Víctor Ayala & Adriano Da Silva & Danilo A. García Hernández, 2025. "Isometries of Almost-Riemannian Structures on Non-nilpotent, Solvable 3D Lie Groups," Journal of Optimization Theory and Applications, Springer, vol. 207(1), pages 1-31, October.
    • Handle: RePEc:spr:joptap:v:207:y:2025:i:1:d:10.1007_s10957-025-02768-4
    DOI: 10.1007/s10957-025-02768-4
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