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Manifolds of non positive curvature

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Book cover Arbeitstagung Bonn 1984

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1111))

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References

  1. D.V. Anosov, Geodesic Flows on Closed Riemannian Manifolds with Negative Curvature, Proc. Steklov Inst. Math. 90, Amer. Math. Soc., Providence, Rhode Island, 1969.

    Google Scholar 

  2. A. Avez, "Variétés riemanniennes sans points focaux", C.R. Acad. Sc. Paris 270 (1970), 188–191.

    MathSciNet  MATH  Google Scholar 

  3. W. Ballmann, "Einige neue Resultate über Mannigfaltigkeiten nicht positiver Krümmung", Bonner math. Schriften 113 (1978), 1–57.

    MATH  Google Scholar 

  4. W. Ballmann, "Axial isometries of manifolds of non-positive curvature", Math. Ann. 259 (1982), 131–144.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. Ballmann, in preparation.

    Google Scholar 

  6. W. Ballmann and M. Brin, "On the ergodicity of geodesic flows", Erg. Th. Dyn. Syst. 2 (1982), 311–315.

    Article  MathSciNet  MATH  Google Scholar 

  7. W. Ballmann, M. Brin and P. Eberlein, "Structure of manifolds of nonpositive curvature. I", Preprint, Bonn-College Park-Chapel Hill 1984.

    Google Scholar 

  8. W. Ballmann, M. Brin and R. Spatzier, "Structure of manifolds of nonpositive curvature. II", Preprint, Bonn-College Park-Berkeley 1984.

    Google Scholar 

  9. W. Ballmann and P. Eberlein, in preparation.

    Google Scholar 

  10. W. Ballmann and E. Heintze, unpublished.

    Google Scholar 

  11. K. Burns, "Hyberbolic behavior of geodesic flows on manifolds with no focal points", Erg. Th. Dyn. Syst. 3 (1983), 1–12.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Burns and R. Spatzier, in preparation.

    Google Scholar 

  13. P. Eberlein, "Rigidity of lattices of nonpositive curvature", Erg. Th. Dyn. Syst. 3 (1983), 47–85.

    Article  MathSciNet  MATH  Google Scholar 

  14. P. Eberlein and B. O’Neill, "Visibility manifolds", Pac. J. Math. 46 (1973), 45–109.

    Article  MathSciNet  MATH  Google Scholar 

  15. D. Gromoll and J. Wolf, "Some relations between the metric structure and the algebraic structure of the fundamental groups in manifolds of nonpositive curvature", Bull. AMS 77 (1971), 545–552.

    Article  MathSciNet  MATH  Google Scholar 

  16. M. Gromov and V. Schroeder, Lectures on Manifolds of Nonpositive Curvature, in preparation.

    Google Scholar 

  17. H.B. Lawson and S.-T. Yau, "Compact manifolds of nonpositive curvature", J. Differential Geometry 7 (1972), 211–228.

    MathSciNet  MATH  Google Scholar 

  18. G.A. Margulis, "Discrete groups of motions of manifolds of nonpositive curvature", AMS Translations 109 (1977), 33–45.

    MATH  Google Scholar 

  19. J. Milnor, "A note on curvature and fundamental group", J. Differential Geometry 2 (1968), 1–7.

    MathSciNet  MATH  Google Scholar 

  20. G.D. Mostow, Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies No. 78, Princeton University Press, Princeton, New Jersey, 1973.

    MATH  Google Scholar 

  21. Ja.B. Pesin, "Geodesic flows on closed Riemannian manifolds without focal points", Math. USSR Izv. 11 (1977), 1195–1228.

    Article  MathSciNet  MATH  Google Scholar 

  22. G. Prasad and M.S. Raghunathan, "Cartan subgroups and lattices in semi-simple groups", Ann. of Math. 96 (1972), 296–317.

    Article  MathSciNet  MATH  Google Scholar 

  23. A. Preissmann, "Quelques propriétés globales des espaces de Riemann", Comment. Math. Helvetici 15 (1943), 175–216.

    Article  MATH  Google Scholar 

  24. S.-T. Yau, Seminar on Differential Geometry, Annals of Math. Studies No. 102, Princeton University Press and University of Tokyo Press, Princeton, New Jersey, 1982.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut, Wegelerstraße 10, 5300, Bonn 1

    W. Ballmann

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  1. W. Ballmann
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Friedrich Hirzebruch Joachim Schwermer Silke Suter

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© 1985 Springer-Verlag

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Ballmann, W. (1985). Manifolds of non positive curvature. In: Hirzebruch, F., Schwermer, J., Suter, S. (eds) Arbeitstagung Bonn 1984. Lecture Notes in Mathematics, vol 1111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084594

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  • DOI: https://doi.org/10.1007/BFb0084594

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15195-1

  • Online ISBN: 978-3-540-39298-9

  • eBook Packages: Springer Book Archive

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