On the effect of the domain on the number of orthogonal geodesic chords

DOI10.1016/S0926-2245(96)00055-1zbMath0903.53028WikidataQ115337572 ScholiaQ115337572MaRDI QIDQ1385085

Fabio Giannoni, Pietro Majer

Publication date: 23 June 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

geodesicsmultiplicity resultsLjusternik-Schnirelmann theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Chord shortening flow and a theorem of Lusternik and Schnirelmann ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the \(N\)-dimensional disk ⋮ Multiple brake orbits and homoclinics in Riemannian manifolds

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