An intrinsic Fermat principle on stationary Lorentzian manifolds and applications.

DOI10.1016/S0926-2245(02)00069-4zbMath1034.58010OpenAlexW2068766629WikidataQ115338197 ScholiaQ115338197MaRDI QIDQ1608975

Erasmo Caponio

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(02)00069-4

zbMATH Keywords

critical point theoryLorentzian manifoldlight raysKilling fieldFermat principle

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

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• A variational theory for light rays in stably causal Lorentzian manifolds: regularity and multiplicity results
• A timelike extension of Fermat's principle in general relativity and applications
• A Fermat principle on Lorentzian manifolds and applications
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• The Large Scale Structure of Space-Time
• On the existence of light-like geodesics on conformally stationary Lorentzian manifolds

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