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arXiv · 2510.02588

Generic density of stationary geodesic nets that are not closed geodesics

Talant Talipov
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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.

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Talant Talipov. 2025-10-02. Generic density of stationary geodesic nets that are not closed geodesics. https://arxiv.org/abs/2510.02588

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