Morse theory for geodesics in singular conformal metrics

DOI10.4310/CAG.2014.V22.N5.A1zbMath1329.53058arXiv1406.0644MaRDI QIDQ893880

Paolo Piccione, Roberto Giambò, Fabio Giannoni

Publication date: 20 November 2015

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0644

zbMATH Keywords

Hamiltoniantotal energybrake orbitsMaupertuis principlehomoclinicsdegenerate Jacobi metrics

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)

Related Items (5)

Functions on the sphere with critical points in pairs and orthogonal geodesic chords ⋮ On the relative category in the brake orbits problem ⋮ On the normal exponential map in singular conformal metrics ⋮ Coherent Riemannian-geometric description of Hamiltonian order and chaos with Jacobi metric ⋮ Multiplicity results for orthogonal geodesic chords and applications

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