Skip to main content
Log in

Théorème de Motzkin en courbure négative

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

The extension of the Motzkin theorem to nonpositively curved spaces gives rise to the use of two different strengths of convexity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Berger, M.: Géométrie II, Fernand Nathan, Paris, 1990, Théorème 11.1.7.3.

    Google Scholar 

  2. Bowditch, B. H.: Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113(2) (1993), 245–317.

    Google Scholar 

  3. Cheeger, J. and Ebin, D.: Comparison Theorems in Riemannian Geometry, North-Holland 1975, 29–42.

  4. Fathi, A.: Caractérisation des Stades à Virage Circulaire, Prépublication UMPA-ENSL 0191, Lyon, 1996.

  5. Gallot, S., Hulin, D. and Lafontaine, J.: Riemannian Geometry, 2nd edn, Universitext 138, Springer-Verlag, Berlin, 1990.

    Google Scholar 

  6. Grognet, S.: Flots magnétiques en courbure négative, À paraître dans Ergodic Theory Dynam. Systems

  7. Hörmander, L.: Notions of Convexity, Progr. Math. 127, Birkhauser, Boston, 1994, 62–63.

    Google Scholar 

  8. Im Hof, H.-C.: The family of horospheres through two points, Math. Ann. 240 (1979), 1–11.

    Google Scholar 

  9. Klingenberg W.: Riemannian Geometry, De Gruyter, Berlin, 1982, 350–369.

    Google Scholar 

  10. Otal, J.-P.: Sur la géométrie symplectique de l'espace des géodésiques d'une variété à courbure négative, Rev. Mat. Iberoam. 8(3) (1992), 441–456.

    Google Scholar 

  11. Paternain, G. P. and Paternain, M.: Anosov Geodesic Flows and Twisted Symplectic Structures, In: F. Ledrappier, J. Lewowicz, S. Newhouse (eds), International Congress on Dynamical Systems in Montevideo (a tribute to Ricardo Mañé), Pitman Res. Notes Math. Ser. 362, Longman, Harlow, 1996, pp. 132–145.

    Google Scholar 

  12. Tauvel, P.: Mathématiques Générales pour l'Agrégation, deuxième édition, Masson, Paris, 1992, pp. 345–346.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grognet, S. Théorème de Motzkin en courbure négative. Geometriae Dedicata 79, 219–227 (2000). https://doi.org/10.1023/A:1005236325541

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005236325541

Navigation