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Lorentzian geometry in the large

John Beem

Banach Center Publications (1997)

  • Volume: 41, Issue: 1, page 11-20
  • ISSN: 0137-6934

Abstract

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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 implications for geodesic structures.

How to cite

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Beem, John. "Lorentzian geometry in the large." Banach Center Publications 41.1 (1997): 11-20. <http://eudml.org/doc/252222>.

@article{Beem1997,
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.},
author = {Beem, John},
journal = {Banach Center Publications},
keywords = {Lorentzian geometry; Morse theory for geodesics; global hyperbolicity; pseudoconvexity; disprisonment},
language = {eng},
number = {1},
pages = {11-20},
title = {Lorentzian geometry in the large},
url = {http://eudml.org/doc/252222},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Beem, John
TI - Lorentzian geometry in the large
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 1
SP - 11
EP - 20
AB - 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.
LA - eng
KW - Lorentzian geometry; Morse theory for geodesics; global hyperbolicity; pseudoconvexity; disprisonment
UR - http://eudml.org/doc/252222
ER -

References

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