On the causal structure of Lorentzian Lie groups: A globality theorem for Lorentzian cones in certain solvable Lie algebras

Mathematische Annalen

Volumn 305, Issue 2, 1996, Pages 343-353

  Mittenhuber, Dirk ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030556116     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01444225     Document Type: Article

References (11)

1. Beem, J.K., Ehrlich, P.E.: Global Lorentzian Geometry. New York, Basel: Marcel Dekker 1981.
2. Hilgert, J.: The halfspace method for causal structures on homogeneous manifolds. In: Hofmann, K.H., Lawson, J.D., Vinberg, E.B. (eds.) Semigroups in Algebra, Geometry and Analysis, pp. 33-55. Berlin: Walter de Gruyter 1995
3. Hilgert, J., Hofmann, K.H.: On the Causal Structure of Homogenous Manifolds. Mathematica Scandinavica 67, 119-144 (1990)
4. Hilgert, J., Hofmann, K.H., Lawson, J.D.: Lie Groups, Convex Cones and Semigroups. Oxford University Press 1989.
5. Hilgert, J., Neeb, K.H.: Lie Semigroups and their applications (Lect. Notes in Math., vol. 1552) Berlin Heidelberg New York Tokyo: Springer 1993
6. Hofmann, K.H.: Hyperplane-subalgebras of real Lie-algebras. Geometriae Dedicata 36, 207-224 (1990)
7. Levichev, A.: On Causal Structure of Homogeneous Lorentzian Manifolds. General Relativity and Gravitation 21, 1027-1045 (1989)
8. Levichev, A., Levicheva, V.: Distinguishability Condition and the Future Subsemigroup. Seminar Sophus Lie 2, 205-212 (1992)
9. Mittenhuber, D.: A globality theorem for Lie wedges that are bounded by a hyperplane-ideal. Seminar Sophus Lie 2, 213-221 (1992)
10. Neeb, K.-H.: The Duality between Subsemigroups of Lie Groups and Monotone Functions. Transactions of the AMS 329, 653-677 (1992)
11. Penrose, R.: Techniques of Differential Topology in Relativity. SIAM Regional Conference Series in Applied Mathematics, (1972)