Generic density of geodesic nets

2021/07/26 by Yevgeny Liokumovich, Liokumovich, Yevgeny, Bruno Staffa +1 · 1 citation
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

paper · pdf · doi:10.48550/arxiv.2107.12340

openalex publication_date 2021/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for a Baire-generic Riemannian metric on a closed smooth manifold, the union of the images of all stationary geodesic nets forms a dense set.

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• Generic density of stationary geodesic nets that are not closed geodesics

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