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Conal orders on homogeneous spaces

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References

  1. Alt, H.W.: Lineare Funktionalanalysis. Berlin Heidelberg New York: Springer 1985

    Book  MATH  Google Scholar 

  2. Bröcker, T., Jänich, K.: Einführung in die Differentiatopologie. Berlin Heidelberg New York: Springer 1973

    Book  MATH  Google Scholar 

  3. Bourbaki, N.: Topologie Générale, Chapitre 10. Paris: Hermann 1961

    MATH  Google Scholar 

  4. Dörr, N.: Die invariante Unterhalbgruppe der Oszillatorgruppe. 1989 (unpublished note)

  5. Eschenburg, J.-H.: The Splitting Theorem for Space-Times with Strong Energy Condition. J. Differ. Geom.27, 477–491 (1988)

    MathSciNet  MATH  Google Scholar 

  6. Faraut, J.: Algèbres de Volterra et Transformation de Laplace Sphérique sur certains espaces symétriques ordonnés. Symp. Math.29, 183–196 (1987)

    MathSciNet  MATH  Google Scholar 

  7. Faraut, J.: Espaces symétriques ordonnés et algèbres de Volterra (preprint 1989)

  8. Folland, G.B.: Harmonic Analysis in Phase Space. Princeton: Princeton University Press, 1989

    MATH  Google Scholar 

  9. Galloway, G.J.: The Lorentzian Splitting Theorem without the Completeness Assumption. J. Differ. Geom.29, 373–387 (1989)

    MathSciNet  MATH  Google Scholar 

  10. Guts, A.K., Levichev, A.V.: On the Foundations of Relativity Theory. Sov. Math. Dokl.30, 253–257 (1984)

    MATH  Google Scholar 

  11. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Spacetime. Cambridge: Cambridge University Press 1973

    Book  MATH  Google Scholar 

  12. Helgason, S.: Differential Geometry, Lie Groups, and Symmetric Spaces. London: Acad. Press 1978

    MATH  Google Scholar 

  13. Hilgert, J., Hofmann, K.H., Lawson, J.D.: Lie groups, Convex cones, and Semigroups, Oxford: Oxford University Press 1989

    MATH  Google Scholar 

  14. Hilgert, J., Neeb, K.-H.: Wiener Hopf Operators on Ordered Symmetric Spaces (in preparation)

  15. Hofmann, K.H., Lawson, J.D., Pym, J.S. (eds.): The Analytic and Topological Theory of Semigroups — Trends and Developments. Berlin: de Gruyter 1990

    Google Scholar 

  16. Lawson, J.D.: Ordered Manifolds, Invariant Cone Fields, and Semigroups. Forum Math.1, No. 3, 273–308 (1989)

    MathSciNet  MATH  Google Scholar 

  17. Levichev, A.: Sufficient conditions for the nonexistence of closed causal curves in homogeneous space-times. Izv. Phys.10, 118–119 (1985)

    Google Scholar 

  18. Neeb, K.-H.: The Duality Between Subsemigroups of Lie Groups and Monotone Functions. Trans. Am. Math. Soc. (to appear)

  19. Neeb, K.-H.: Semigroups in the Universal Covering Group of SL(2). Semigroup Forum (to appear)

  20. Neeb, K.-H.: Invariant Subsemigroups of Lie Groups (submitted)

  21. Nomizu, K., Ozeki, H.: The Existence of Complete Riemannian Metrics. Proc. Am. Math. Soc.12, 889–891 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  22. 'Olafsson, G.: Causal Symmetric Spaces 1990 (in preparation)

  23. Ol'shanskiî, G.I.: Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series. Funct. Anal. Appl.15, 275–285 (1982).

    Article  Google Scholar 

  24. Ol'shanskiî, G.I.: Invariant orderings in simple Lie groups. The solution to E.B. Vinberg's problem. Funct. Anal. Appl.16, 311–313 (1982).

    Article  Google Scholar 

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  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstr. 7, W-6100, Darmstadt, Germany

    K. -H. Neeb

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  1. K. -H. Neeb
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Oblatum 24-IV-1990 & 3-IX-1990

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Neeb, K.H. Conal orders on homogeneous spaces. Invent. math. 104, 467–496 (1991). https://doi.org/10.1007/BF01245086

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