2021/07/26 by Bruno Staffa, Staffa, Bruno · 1 citation
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Morphological variations and asymmetry #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2107.12446
openalex publication_date 2021/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stationary geodesic networks are the analogs of closed geodesics whose domain is a graph instead of a circle. We prove that for a Baire-generic Riemannian metric on a smooth manifold M, all connected embedded stationary geodesic nets are non-degenerate.