A focal index theorem for null geodesics

DOI10.1016/0393-0440(89)90031-4zbMath0709.53044OpenAlexW2008535458MaRDI QIDQ921614

Seon-Bu Kim, Paul E. Ehrlich

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90031-4

zbMATH Keywords

null geodesicspace-like submanifoldsfocal Morse index theoremspace- time

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (max. 100)

A finite dimensional approach to light rays in general relativity ⋮ A general-relativistic Fermat principle for extended light sources and extended receivers ⋮ A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry

Cites Work

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• The index theorem in Riemannian geometry
• A Morse index theorem for null geodesics
• The Morse index theorem in the case of two variable end-points
• The Morse Index Theorem where the Ends are Submanifolds
• The Conjugate Locus of a Riemannian Manifold
• Extension of the Rauch Comparison Theorem to Submanifolds
• The Large Scale Structure of Space-Time

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