Generic density of stationary geodesic nets that are not closed geodesics
Differential Geometry
2025-10-06 v1 Metric Geometry
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.
Cite
@article{arxiv.2510.02588,
title = {Generic density of stationary geodesic nets that are not closed geodesics},
author = {Talant Talipov},
journal= {arXiv preprint arXiv:2510.02588},
year = {2025}
}
Comments
13 pages, 6 figures