Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients

DOI10.1016/S0393-0440(02)00060-8zbMath1028.53076MaRDI QIDQ1864919

Addolorata Salvatore, Anna Maria Candela

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

saddle point theoremnormal geodesicsrelative categorystationary Lorentzian manifolds

Mathematics Subject Classification ID

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

Related Items (6)

Orthogonal trajectories on Riemannian manifolds and applications to plane wave type spacetimes ⋮ Lightlike rays in stationary spacetimes with critical growth ⋮ Normal Geodesics Connecting two Non-necessarily Spacelike Submanifolds in a Stationary Spacetime ⋮ Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes ⋮ Geodesic connectedness of stationary spacetimes with optimal growth ⋮ Normal geodesics in static spacetimes with critical asymptotic behavior

Cites Work

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• An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• Multiple critical points for indefinite functionals and applications
• On the existence of infinitely many geodesics on space-time manifolds
• On the geodesic connectedness of Lorentzian manifolds
• A Fermat principle for stationary space-times and applications to light rays
• Light rays joining two submanifolds in space-times
• Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics
• On the geometry of generalized Robertson-Walker spacetimes: geodesics.
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• Relative category, products and coproducts
• The Large Scale Structure of Space-Time
• A relative category and applications to critical point theory for strongly indefinite functionals
• Riemannian geometry
• Existence and multiplicity of normal geodesics in Lorentzian manifolds

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