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Compact manifolds with 1/4-pinched negative curvature

Part of the Lecture Notes in Mathematics book series (LNM,volume 1481)

Keywords

  • Lyapunov Exponent
  • Lipschitz Constant
  • Topological Entropy
  • Geodesic Flow
  • Invariant Subset

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References

  1. R. Feres, Geodesic flows on manifolds of negative curvature with smooth horospheric foliations, Thesis, Caltech 1989.

    Google Scholar 

  2. R. Feres, A. Katok, Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows. Erg. Th. & Dyn. Sys. 9 (1989), 427–432.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. P. Foulon, F. Labourie, Flots d'Anosov à distributions de Liapounov différentiables, preprint.

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  4. U. Hamenstädt, A geometric characterization of compact locally symmetric spaces, to appear in J. Diff. Geo.

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  5. U. Hamenstādt, Metric and topological entropies of geodesic flows, to appear in Ann. Math.

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  6. M. Hirsch, C. Pugh, Smoothness of horocycle foliations, J. Diff. Geom. (1975), 225–238.

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  7. M. Hirsch, C. Pugh, M. Shub, Invariant manifolds, Lecture Notes in Math. 583, Springer 1977.

    Google Scholar 

  8. M. Kanai, Geodesic flows on negatively curves manifolds with smooth stable and unstable foliations, Erg. Th. & Dyn. Sys. 8 (1988), 215–239.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1991 Springer-Verlag

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Hamenstādt, U. (1991). Compact manifolds with 1/4-pinched negative curvature. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083630

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  • DOI: https://doi.org/10.1007/BFb0083630

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54728-0

  • Online ISBN: 978-3-540-46445-7

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