Closed geodesies on compact Lorentzian manifolds of splitting type

DOI10.1017/S0308210500021594zbMath0904.53032MaRDI QIDQ3840733

Rosella Sampalmieri, Flavia Antonacci

Publication date: 6 January 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Palais-Smale conditionclosed geodesicsLorentzian metricsLjusternik-Schnirelman relative category

Mathematics Subject Classification ID

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

Related Items (3)

On a class of geodesically connected Lorentzian manifolds ⋮ Some results about geodesics on lorentzian manifolds of splitting type ⋮ Closed geodesics in stationary manifolds with strictly convex boundary

Cites Work

• On the existence of a closed geodesic in stationary Lorentz manifolds
• The imbedding problem for Riemannian manifolds
• On the existence of closed geodesics on noncompact Riemannian manifolds
• Closed geodesics on non-compact Riemannian manifolds
• Geodesics on product Lorentzian manifolds
• Morse theory on Hilbert manifolds
• The Large Scale Structure of Space-Time
• A relative category and applications to critical point theory for strongly indefinite functionals

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