Geodesics in nilpotent Lie groups

2005/07/04 by Odinette Renée Abib, Abib, Odinette Renée
Mathematics · Physics and Astronomy · #53A55 #93B29 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.math/0507063

openalex publication_date 2005/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the geodesics problem in Heisenberg group H (case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.

Citations

• Shortest paths for sub-Riemannian metrics on rank-two distributions

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