Generic density of geodesic nets
Differential Geometry
2023-02-17 v4 Analysis of PDEs
Metric Geometry
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.
Keywords
Cite
@article{arxiv.2107.12340,
title = {Generic density of geodesic nets},
author = {Yevgeny Liokumovich and Bruno Staffa},
journal= {arXiv preprint arXiv:2107.12340},
year = {2023}
}