Convexity and the finiteness of the number of geodesics. Applications to the multiple-image effect

DOI10.1088/0264-9381/16/3/008zbMath0941.53028OpenAlexW1971229343MaRDI QIDQ4699887

Fabio Giannoni, Antonio Masiello, Paolo Piccione

Publication date: 18 November 1999

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/16/3/008

zbMATH Keywords

conjugate pointsgeodesic pathRobertson-Walker spacetime

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Convex functions and geodesic connectedness of space-times ⋮ A timelike extension of Fermat's principle in general relativity and applications ⋮ Light bending in a two black hole metric ⋮ On the number of solutions for the two-point boundary value problem on Riemannian manifolds ⋮ On the finiteness of light rays between a source and an observer on conformally stationary space-times ⋮ Gravitational lensing from a spacetime perspective ⋮ Geodesic connectedness and conjugate points in GRW space-times ⋮ Boundary rigidity for Randers metrics

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