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Bumpy Metrics Theorem for Geodesic Nets (2107.12446v6)
Published 26 Jul 2021 in math.DG, math.AP, and math.MG
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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