Family of Riemannian problems on the Heisenberg group

2025/11/24 by Sachkov, Yu.
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2511.20491

openalex publication_date 2025/11/24 · openalex created_date 2025/11/28 · openalex updated_date 2026/07/28

Abstract

We study a family of Riemannian problems on the Heisenberg group that tends to the sub-Riemannian problem on this group.

Related

• Families of Lorentzian problems on the Heisenberg group
• The Minkowski problem in Heisenberg groups
• Overdetermined problems in groups of Heisenberg type: conjectures and partial results
• Submanifolds with boundary in sub-Riemannian Heisenberg Groups
• Sub-Lorentzian distance and spheres on the Heisenberg group