Existence and multiplicity of normal geodesics in Lorentzian manifolds

DOI10.1007/BF02921989zbMath1032.53060MaRDI QIDQ5950225

Anna Maria Candela, Antonio Masiello, Addolorata Salvatore

Publication date: 15 March 2004

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

saddle-pointsLorentzian manifoldsnormal geodesicsrelative categorysemi-Riemannian geometry

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) 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 (5)

A topological method for geodesic connectedness of space–times: Outer Kerr space–time ⋮ Orthogonal trajectories on Riemannian manifolds and applications to plane wave type spacetimes ⋮ Normal Geodesics Connecting two Non-necessarily Spacelike Submanifolds in a Stationary Spacetime ⋮ Normal geodesics in static spacetimes with critical asymptotic behavior ⋮ Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients

Cites Work

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• Category of loop spaces of open subsets in euclidean space
• Domain of Dependence
• The Large Scale Structure of Space-Time
• A relative category and applications to critical point theory for strongly indefinite functionals
• Riemannian geometry

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