On the geodesic connectedness of Lorentzian manifolds

DOI10.1007/BF02571935zbMath0807.53054MaRDI QIDQ1340949

Vieri Benci, Antonio Masiello, Donato Fortunato

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174681

zbMATH Keywords

globally hyperbolicgrowth conditiongeodesic connectedness

Mathematics Subject Classification ID

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

Related Items

A Fermat principle for stationary space-times and applications to light rays, Sign-changing solutions for a modified nonlinear Schrödinger equation in \(\mathbb{R}^N\), Geodesics on product Lorentzian manifolds, On a class of geodesically connected Lorentzian manifolds, Convex functions and geodesic connectedness of space-times, Geodesic connectedness in generalized Reissner-Nordström type Lorentz manifolds, Some results about geodesics on 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, Closed timelike geodesics in compact spacetimes, Normal geodesics in stationary Lorentzian manifolds with unbounded coefficients

Cites Work

• On the existence of multiple geodesics in static space-times
• Pseudoconvexity and geodesic connectedness
• Existence of geodesics for the Lorentz metric of a stationary gravitational field
• A Morse theory for geodesics on a Lorentz manifold
• Morse theory on Hilbert manifolds
• Domain of Dependence
• Unnamed Item
• Unnamed Item