Hyperbolic minimizing geodesics

DOI10.1090/S0002-9947-00-02483-1zbMath0956.37019OpenAlexW1526360126WikidataQ125862532 ScholiaQ125862532MaRDI QIDQ4955732

Daniel C. Offin

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02483-1

zbMATH Keywords

geodesicsLagrangian submanifoldsHamiltonian flows

Mathematics Subject Classification ID

Related Items (9)

Instability of closed orbits obtained by minimization* ⋮ Instability for a family of homographic periodic solutions in the parallelogram four body problem ⋮ Isolated periodic minima are unstable ⋮ Instability criterion for periodic solutions with spatio-temporal symmetries in Hamiltonian systems ⋮ Functional determinants for the second variation ⋮ Non-degeneracy of extremal points in multi-dimensional space ⋮ Sturm theory with applications in geometry and classical mechanics ⋮ Instability of Periodic Orbits by Conley–Zehnder Index Theory ⋮ Stability of periodic orbits by Conley-Zehnder index theory

Cites Work

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• The Morse Index Theorem where the Ends are Submanifolds
• Minimal geodesics
• Extension of the Rauch Comparison Theorem to Submanifolds
• Riemannian geometry
• Geodesics on a two-dimensional Riemannian manifold with periodic coefficients

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