Bumpy Metrics Theorem for Geodesic Nets

Bruno Staffa

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arXiv · 2107.12446

Bumpy Metrics Theorem for Geodesic Nets

Bruno Staffa

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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 $M$, all connected embedded stationary geodesic nets are non-degenerate.

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Bruno Staffa. 2021-07-26. Bumpy Metrics Theorem for Geodesic Nets. https://arxiv.org/abs/2107.12446

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