Generic density of geodesic nets

Generic density of geodesic nets

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.

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Veröffentlicht in:Selecta mathematica (Basel, Switzerland) Switzerland), 2024-02, Vol.30 (1), Article 14
Hauptverfasser: Liokumovich, Yevgeny, Staffa, Bruno
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1022-1824
1420-9020
DOI:10.1007/s00029-023-00901-7