Bumpy Metrics Theorem for Geodesic Nets
Differential Geometry
2023-07-21 v6 Analysis of PDEs
Metric Geometry
Abstract
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 , all connected embedded stationary geodesic nets are non-degenerate.
Cite
@article{arxiv.2107.12446,
title = {Bumpy Metrics Theorem for Geodesic Nets},
author = {Bruno Staffa},
journal= {arXiv preprint arXiv:2107.12446},
year = {2023}
}
Comments
Accepted for publication in JTA