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

Víctor Ayala; Adriano Da Silva; Danilo A. García Hernández

doi:10.1016/j.geomphys.2023.104922

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

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

Universidade Estadual de Campinas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, connected 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.

Idioma original	Inglés
Número de artículo	104922
Publicación	Journal of Geometry and Physics
Volumen	192
DOI	https://doi.org/10.1016/j.geomphys.2023.104922
Estado	Publicada - oct 2023

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title = "Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups",

abstract = "In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, connected 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.",

keywords = "Almost-Riemannian geometry, Linear vector fields, Singular locus, Solvable Lie groups",

author = "V{\'i}ctor Ayala and \{Da Silva\}, Adriano and \{Garc{\'i}a Hern{\'a}ndez\}, \{Danilo A.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier B.V.",

year = "2023",

month = oct,

doi = "10.1016/j.geomphys.2023.104922",

language = "English",

volume = "192",

journal = "Journal of Geometry and Physics",

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T1 - Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups

AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - García Hernández, Danilo A.

PY - 2023/10

Y1 - 2023/10

N2 - In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, connected 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.

AB - In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, connected 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.

KW - Almost-Riemannian geometry

KW - Linear vector fields

KW - Singular locus

KW - Solvable Lie groups

UR - https://www.scopus.com/pages/publications/85165938216

U2 - 10.1016/j.geomphys.2023.104922

DO - 10.1016/j.geomphys.2023.104922

M3 - Article

AN - SCOPUS:85165938216

SN - 0393-0440

VL - 192

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 104922

ER -

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

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