Generic density of stationary geodesic nets that are not closed geodesics
Talant Talipov
公開日: 2025/10/2
Abstract
We prove that for a Baire-generic Riemannian metric on a closed smooth manifold of dimension greater than or equal 3, the union of stationary geodesic nets that are not closed geodesics forms a dense set. This result confirms a Nabutovsky-Parsch conjecture in this case.