Sub-Lorentzian distance and spheres on the Heisenberg group

2022/08/08 by Yu. L. Sachkov, Sachkov, Yu. L., E. F. Sachkova +1 · 2 citations
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2208.04073

openalex publication_date 2022/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The left-invariant sub-Lorentzian problem on the Heisenberg group is considered. An optimal synthesis is constructed, the sub-Lorentzian distance and spheres are described.

Cited by

• Families of Lorentzian problems on the Heisenberg group
• Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group

Related

• Lorentzian problems on the Heisenberg group
• Optimal transport on the sub-Lorentzian Heisenberg group
• Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group
• The Minkowski problem in Heisenberg groups
• Family of Riemannian problems on the Heisenberg group