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ArticleOriginal scientific text

Title

Lorentzian geometry in the large

Authors 1

Affiliations

  1. Mathematics Department, University of Missouri-Columbia, Columbia, MO 65211, U.S.A.

Abstract

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 implications for geodesic structures.

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Banach Center Publications
1997/41/1
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Pages:
11-20
Main language of publication
English
Published
1997
Exact and natural sciences