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Lemme de Schwarz réel et applications géométriques

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Bibliographie

  • [BCG1]Besson, G., Courtois, G. &Gallot, S., Entropies et rigidités des espaces localement symétriques de courbure strictement négative.Geom. Funct. Anal., 5 (1995), 731–799.

    Article  MathSciNet  MATH  Google Scholar 

  • [BCG2] —, Minimal entropy and Mostow's rigidity theorems.Ergodic Theory Dynam. Systems, 16 (1996), 623–649.

    Article  MathSciNet  MATH  Google Scholar 

  • [Be]Besse, A. L.,Einstein Manifolds. Ergeb. Math. Grenzgeb. (3), 10. Springer-Verlag, Berlin-New York, 1987.

    MATH  Google Scholar 

  • [Bou]Bourdon, M., Sur le birapport au bord des CAT(−1)-espaces.Inst. Hautes Études Sci. Publ. Math., 83 (1996), 95–104.

    MATH  MathSciNet  Google Scholar 

  • [Bow]Bowen, R., Haussdorff dimension of quasi-circles.Inst. Hautes Études Sci. Publ. Math., 50 (1979), 11–25.

    MATH  MathSciNet  Google Scholar 

  • [BP]Benedetti, R. &Petronio, C.,Lectures on Hyperbolic Geometry. Universitext. Springer-Verlag, Berlin, 1992.

    MATH  Google Scholar 

  • [BZ]Burago, Yu. D. &Zalgaller, V. A.,Geometric Inequalities. Grundlehren Math. Wiss., 285. Springer-Verlag, Berlin-New York, 1988.

    MATH  Google Scholar 

  • [Co]Corlette, K., Archimedean superrigidity and hyperbolic geometry.Ann. of Math., 135 (1992), 165–182.

    Article  MATH  MathSciNet  Google Scholar 

  • [CT]Carlson, J. &Toledo, D., Harmonic mappings of Kähler manifolds to locally symmetric spaces.Inst. Hautes Études Sci. Publ. Math., 69 (1989), 173–201.

    MathSciNet  MATH  Google Scholar 

  • [DE]Douady, E. &Earle, C., Conformally natural extension of homeomorphisms of the circle.Acta Math., 157 (1986), 23–48.

    MathSciNet  MATH  Google Scholar 

  • [ES]Eells, J. &Sampson, J. H., Harmonic mappings of Riemannian manifolds.Amer. J. Math., 86 (1964), 109–160.

    MathSciNet  MATH  Google Scholar 

  • [GH]Ghys, E. &Harpe, P. de la (éditeurs),Sur les groupes hyperboliques d'après Mikhael Gromov (Bern, 1988). Progr. Math., 83. Birkhäuser Boston, Boston, MA, 1990.

    MATH  Google Scholar 

  • [GM]Goldman, W. &Millson, J., Local rigidity of discrete groups acting on complex hyperbolic space.Invent. Math., 88 (1987), 495–520.

    Article  MathSciNet  MATH  Google Scholar 

  • [Gr1]Gromov, M., Volume and bounded cohomology.Inst. Hautes Études Sci. Publ. Math., 56 (1981), 213–307.

    MathSciNet  Google Scholar 

  • [Gr2]—, Asymptotic invariants of infinite groups, inGeometric Group Theory, Vol. 2 (Sussex, 1991), pp. 1–295. London Math. Soc. Lecture Note Ser., 182. Cambridge Univ. Press, Cambridge, 1993.

    Google Scholar 

  • [HS]Hoffmann, W. &Spruck, J., Sobolev and isoperimetric inequalities for Riemannian submanifolds.Comm. Pure Appl. Math., 27 (1975), 715–727; Erratum.Comm. Pure Appl. Math., 27 (1975), 765–766.

    Article  Google Scholar 

  • [JY]Jost, J. &Yau, S. T., Harmonic mappings and Kähler manifolds.Math. Ann., 262 (1983), 145–166.

    Article  MathSciNet  MATH  Google Scholar 

  • [Mo]Mok, N.,Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds. Ser. Pure Math., 6. World Sci. Publishing, Singapore, 1989.

    MATH  Google Scholar 

  • [O]Oliveira Filho, G. de, Compactification of minimal submanifolds of hyperbolic space.Comm. Anal. Geom., 1 (1993), 1–29.

    MATH  MathSciNet  Google Scholar 

  • [P]Pansu, P., Dimension conforme et sphère à l'infini des variétés à courbure négative.Ann. Acad. Sci. Fenn. Ser. A I Math., 14 (1989), 177–212.

    MATH  MathSciNet  Google Scholar 

  • [Sa]Sambusetti, A., Best constants for a real Schwarz lemma. Prépublication de l'Institut Fourier no 422. Grenoble, 1998.

  • [Sh]Shalom, Y., Rigidity and cohomology of unitary representations.Internat. Math. Res. Notices, 16 (1998), 829–849.

    Article  MATH  MathSciNet  Google Scholar 

  • [Si]Siu, Y. T., Complex analyticity of harmonic maps and strong rigidity of complex Kähler manifolds.Ann. of Math., 112 (1980), 73–111.

    Article  MATH  MathSciNet  Google Scholar 

  • [SP]Séminaire Palaiseau 1978, Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi.Astérisque no 58.

  • [Su]Sullivan, D., The density at infinity of a discrete group of hyperbolic motions.Inst. Hautes Études Sci. Publ. Math., 50 (1979), 171–202.

    MATH  MathSciNet  Google Scholar 

  • [Y1]Yue, C. B., Dimension and rigidity of quasi-Fuchsian representations.Ann. of Math., 143 (1996), 331–355.

    Article  MATH  MathSciNet  Google Scholar 

  • [Y2]—, The ergodic theory of discrete isometry groups on manifolds of variable negative curvature.Trans. Amer. Math. Soc., 348 (1996), 4965–5005.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institut Fourier, Université de Grenoble I UMR 5582 CNRS-UJF, B.P. 74, FR-38402, Saint-Martin d'Hères Cedex, France

    Gérard Besson & Sylvestre Gallot

  2. Centre de Mathématiques, École Polytechnique UMR 7640 CNRS, FR-91128, Palaiseau Cedex, France

    Gilles Courtois

Authors
  1. Gérard Besson
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  2. Gilles Courtois
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  3. Sylvestre Gallot
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Besson, G., Courtois, G. & Gallot, S. Lemme de Schwarz réel et applications géométriques. Acta Math. 183, 145–169 (1999). https://doi.org/10.1007/BF02392826

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  • DOI: https://doi.org/10.1007/BF02392826

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