Geodesic reflections in semi-Riemannian geometry
Eduardo García-Río, M. Elena Vázquez-Abal (1993)
Czechoslovak Mathematical Journal
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Displaying similar documents to “A geodesic completeness theorem for locally symmetric Lorentz manifolds.”
Geodesic reflections in semi-Riemannian geometry
Lorentzian geometry in the large
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
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