Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds

zbMath0807.53055MaRDI QIDQ1332508

Carlo Greco

Publication date: 31 August 1994

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1994__91__251_0

zbMATH Keywords

geodesicsvariational methodsperiodicKilling fieldstatic spacetimesspacelike geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

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

Cites Work

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• On the existence of a closed geodesic in stationary Lorentz manifolds
• On the existence of multiple geodesics in static space-times
• Existence of geodesics for the Lorentz metric of a stationary gravitational field
• Critical point theory and Hamiltonian systems
• Multiple periodic trajectories on stationary space-times
• A Morse theory for geodesics on a Lorentz manifold
• On the existence of infinitely many geodesics on space-time manifolds
• Periodic trajectories for a class of Lorentz-metrics of a time-dependent gravitational field
• Dual variational methods in critical point theory and applications
• Periodic trajectories in static space-times
• Time-like periodic trajectories in stationary Lorentz manifolds

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