Geodesics on product Lorentzian manifolds

DOI10.1016/S0294-1449(16)30166-4zbMath0839.53046MaRDI QIDQ1905012

Fabio Giannoni, Antonio Masiello

Publication date: 25 June 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1995__12_1_27_0

zbMATH Keywords

geodesicscritical point theoryLorentz metrics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) 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)

Related Items

A Fermat principle for stationary space-times and applications to light rays, On a class of geodesically connected Lorentzian manifolds, A timelike extension of fermat's principle in general relativity. Comparisons with the lightlike case, Critical point theory and global lorentzian geometry, Some results about geodesics on lorentzian manifolds of splitting type, Closed geodesies on compact Lorentzian manifolds of splitting type, Existence and multiplicity of normal geodesics in Lorentzian manifolds, On the geometry of generalized Robertson-Walker spacetimes: geodesics., Multiple critical points for indefinite functionals and applications

Cites Work

• The imbedding problem for Riemannian manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• On the existence of infinitely many geodesics on space-time manifolds
• On the geodesic connectedness of Lorentzian manifolds
• Relative category, products and coproducts
• Domain of Dependence
• A relative category and applications to critical point theory for strongly indefinite functionals
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