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Isotropic manifolds of indefinite metric

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Commentarii Mathematici Helvetici

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References

  1. A. Borel,Some remarks about transformation groups transitive on spheres and tori. Bull. Amer. Math. Soc., 55 (1949), 580–586.

    MATH  MathSciNet  Google Scholar 

  2. A. Borel,Le plan projectif des octaves et les sphères comme espaces homogènes, Comptes rendus de l’Académie des Sciences (Paris), 230 (1950), 1378–1380.

    MATH  MathSciNet  Google Scholar 

  3. A. Borel,Lectures on symmetric spaces, notes, Massachusetts Institute of Technology, 1958.

  4. A. Borel andHarish-Chandra,Arithmetic subgroups of algebraic groups, Annals of Mathematics, 75 (1962), 485–535.

    Article  MathSciNet  Google Scholar 

  5. É. Cartan,Sur certaines formes riemanniennes remarquables des géométries à groupe fondamental simple. Annales Scientifiques de l’Ecole Normale Supérieure, 44 (1927), 345–467.

    MathSciNet  Google Scholar 

  6. É. Cartan,Sur les domaines bornés homogènes de l’espace de n variables complexes, Abhandlungen aus dem Mathematischen Seminar der Hamburgischen Universität, 11 (1935), 116–162.

    MATH  Google Scholar 

  7. A. Frölicher,Zur Differentialgeometrie der komplexen Strukturen. Mathematische, Annalen, 129 (1955), 50–95.

    Article  MATH  MathSciNet  Google Scholar 

  8. S. Helgason,Differential operators on homogeneous spaces, Acta Mathematica, 102 (1960), 239–299.

    Article  MathSciNet  Google Scholar 

  9. N. Hicks,A theorem on affine connexions, Illinois Journal of Mathematics, 3 (1959), 242–254.

    MATH  MathSciNet  Google Scholar 

  10. N. Jacobson, Cayley numbers and normal simple Lie algebras of type G, Duke Mathematical Journal, 5 (1939), 776–783.

    Article  Google Scholar 

  11. S. Kobayashi,Homogeneous Riemann ian manifolds of negative curvature, Bull. Amer. Math. Soc., 68 (1962), 338–339.

    MATH  MathSciNet  Google Scholar 

  12. G. D. Mostow,On covariant fiberings of Klein spaces, American Journal of Mathematics, 77 (1955), 247–278.

    Article  MATH  MathSciNet  Google Scholar 

  13. G. D. Mostow,Some new decomposition theorems for semi-simple groups, Memoirs of the American Mathematical Society, number 14 (1955), 31–54.

    MATH  MathSciNet  Google Scholar 

  14. K. Nomizu,Invariant affine connections on homogeneous spaces, American Journal of Mathematics, 76 (1954), 33–65.

    Article  MATH  MathSciNet  Google Scholar 

  15. H. Samelson,Topology of Lie groups, Bull. Amer. Math. Soc. 58 (1952), 2–37.

    Article  MATH  MathSciNet  Google Scholar 

  16. J. A. Wolf,Homogeneous manifolds of constant curvature, Commentarii Mathematici Helvetici,36 (1961), 112–147.

    Article  MathSciNet  Google Scholar 

  17. J. A. Wolf,The Clifford-Klein space forms of indefinite metric, Annals of Mathematics, 75 (1962), 77–80.

    Article  MathSciNet  Google Scholar 

  18. J. A. Wolf,Homogeneous manifolds of zero curvature, Transactions of the American Mathematical Society, 104 (1962), 462–469.

    Article  MathSciNet  Google Scholar 

  19. J. A. Wolf,Locally symmetric homogeneous spaces, Commentarii Mathematici Helvetici,37 (1962), 65–101.

    MATH  MathSciNet  Google Scholar 

  20. J. A. Wolf,Homogeneity and bounded isometries in manifolds of negative curvature, Illinois Journal of Mathematics, to appear.

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This work was begun at theSummer Institute on Relativity and Differential Geometry, Santa Barbara, 1962. It was partially supported by National Science Foundation Grant GP-812.

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Wolf, J.A. Isotropic manifolds of indefinite metric. Commentarii Mathematici Helvetici 39, 21–64 (1964). https://doi.org/10.1007/BF02566943

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