3-dimensional left-invariant sub-Lorentzian contact structures

2016/02/16 by Marek Grochowski, Grochowski, Marek, Alexandr Medvedev +3
Mathematics · Medicine · #34C14 #53A55 #53B30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Ophthalmology and Eye Disorders #math.DG #msc:34C14 #msc:53A55 #msc:53B30

paper · pdf · doi:10.48550/arxiv.1602.05091

arxiv created 2016/02/16 · openalex publication_date 2016/02/16 · arxiv updated 2016/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a classification of ts-invariant sub-Lorentzian structures on 3 dimensional contact Lie groups. Our approach is based on invariants arising form the construction of a normal Cartan connection.

Cited by

• Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds

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