Functions on the sphere with critical points in pairs and orthogonal geodesic chords

DOI10.1016/j.jde.2016.02.018zbMath1338.58007arXiv1503.06176OpenAlexW2962816573WikidataQ125921937 ScholiaQ125921937MaRDI QIDQ267503

Roberto Giambò, Paolo Piccione, Fabio Giannoni

Publication date: 8 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06176

zbMATH Keywords

critical pointMorse functionorthogonal geodesic chords

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 (3)

Multiple brake orbits of even Hamiltonian systems on torus ⋮ A finite dimensional approach to light rays in general relativity ⋮ Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles

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