Estimates of the number of periodic trajectories on a class of Lorentz manifolds

DOI10.1016/S0362-546X(97)00576-2zbMath1037.53507OpenAlexW1979486416MaRDI QIDQ4264242

Juan Molina

Publication date: 7 June 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00576-2

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

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• Estimate of the number of periodic solutions via the twist number
• On the existence of multiple geodesics in static space-times
• A new approach to the Morse-Conley theory and some applications
• Critical point theory and Hamiltonian systems
• Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds
• Periodic solutions of asymptotically linear dynamical systems
• Infinite dimensional Morse theory and multiple solution problems
• Morse theory for \(C^ 1\)-functionals and Conley blocks

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