A Morse index for geodesics in static Lorentz manifolds

DOI10.1007/BF01444726zbMath0735.58011MaRDI QIDQ811525

Vieri Benci, Antonio Masiello

Publication date: 1992

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

Full work available at URL: https://eudml.org/doc/164967

zbMATH Keywords

geodesicsLorentz manifoldconjugate pointscritical pointsMorse indexgeometric indexMorse relations

Mathematics Subject Classification ID

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

Related Items (7)

A Fermat principle for stationary space-times and applications to light rays ⋮ Some results on lightlike geodesics on stationary lorentzian manifolds ⋮ Critical point theory and global lorentzian geometry ⋮ Pseudo Focal Points Along Lorentzian Geodesics and Morse Index ⋮ Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric ⋮ Geodesic connectedness and conjugate points in GRW space-times ⋮ Some properties of the spectral flow in semi-Riemannian geometry

Cites Work

• Unnamed Item
• A Morse theory for geodesics on a Lorentz manifold
• Morse Theory. (AM-51)
• Riemannian geometry

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