# Lorentzian geometry in the large

Banach Center Publications (1997)

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

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topBeem, 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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