Skip to main content
Log in

Sur les fonctions propres positives des variétés de Cartan-Hadamard

  • Published:
Commentarii Mathematici Helvetici

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.

Reférences

  1. A. Ancona,Negatively curved manifolds, elliptic operators and the Martin boundary, Ann. of Maths,125, (1987), 495–536.

    Article  MathSciNet  Google Scholar 

  2. A. Ancona,Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique sur un domaine Lipschitzien, Ann. Inst. Fourier, XVI,2, (1978), p. 465–467.

    MathSciNet  Google Scholar 

  3. M. Anderson andR. Schoen,Positive Harmonic functions on complete manifolds of negative curvature, Ann. of Math.,121 (1985), p. 429–461.

    Article  MathSciNet  Google Scholar 

  4. K. Burns andA. Katok,Manifolds of non-positive curvature, Ergodic Theory of Dynamic System,5 (1985), 207–317.

    MathSciNet  Google Scholar 

  5. I. Chavel,Eigenvalues in Riemannian geometry, Academic press Inc., (1984).

  6. J. Cheeger andD. Ebin,Comparison theorems in differential geometry, North Holland Publ. Co., Amsterdam, (1975).

    Google Scholar 

  7. J. Cheeger, M. Gromov andM. Taylor,Finite propagation speed, Kernel estimates for functions of the Laplace operator and the geometry of complete Riemannian manifolds, J. Differential Geometry,17 (1982), p. 15–53.

    MathSciNet  Google Scholar 

  8. S. Y. Cheng, andS. T. Yau,Differential equations of Riemannian manifolds and their geometric applications, Comm. in Pure and applied math.,28 (1975), 333–354.

    MathSciNet  Google Scholar 

  9. K. Gowrisankaran,Fatou-Doob limit theorems in the axiomatic setting of Brelot, Ann. Inst. Fourier, XVI,2 (1966), p. 465–467.

    MathSciNet  Google Scholar 

  10. R. M. Hervé,Recherches sur la théorie axiomatique des fonctions surharmoniques et du Potentiel, Ann. Inst. Fourier XII, (1962), p. 415–471.

    Google Scholar 

  11. S. J. Patterson,The limit set of a Fuchsian group. Acta Math.,136 (1976), p. 241–273.

    Article  MathSciNet  Google Scholar 

  12. D. Sibony,Theorème de limites fines et problème de Dirichlet, Ann. Inst. Fourier XVIII,2 (1968), p. 121–134.

    MathSciNet  Google Scholar 

  13. S. T. Yau,Harmonic functions on complete Riemannian manifolds, Comm. on Pure and applied Math.,28 (1975) 201–228.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ancona, A. Sur les fonctions propres positives des variétés de Cartan-Hadamard. Commentarii Mathematici Helvetici 64, 62–83 (1989). https://doi.org/10.1007/BF02564664

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02564664

Navigation