Some properties of the spectral flow in semi-Riemannian geometry

DOI10.1016/S0393-0440(97)00083-1zbMath0928.53020MaRDI QIDQ1299178

Vieri Benci, Fabio Giannoni, Antonio Masiello

Publication date: 19 October 1999

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

zbMATH Keywords

variational calculusgeodesicsconjugate pointsspectral flowsemi-Riemannian geometryJacobi equationsMorse index theorem

Mathematics Subject Classification ID

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) Spectral flows (58J30)

Related Items (5)

Geodesic structure of standard static space--times. ⋮ Pseudo Focal Points Along Lorentzian Geodesics and Morse Index ⋮ Morse index and bifurcation ofp-geodesics on semi Riemannian manifolds ⋮ Geodesic connectedness and conjugate points in GRW space-times ⋮ A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry

Cites Work

• On the existence of multiple geodesics in static space-times
• A Morse index for geodesics in static Lorentz manifolds
• On the existence of geodesics on stationary Lorentz manifolds with convex boundary
• Critical point theory and Hamiltonian systems
• Conjugate points on spacelike geodesics or pseudo-self-adjoint Morse-Sturm-Liouville systems
• A Fermat principle for stationary space-times and applications to light rays
• Morse theory on Hilbert manifolds
• The Large Scale Structure of Space-Time
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