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Inventiones mathematicae

, Volume 110, Issue 1, pp 29–37 | Cite as

Amenable coverings of complex manifolds and holomorphic probability measures

  • Curt McMullen
Article

Keywords

Manifold Probability Measure Complex Manifold Amenable Covering 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [BD] Barrett, D., Diller, J.: Poincaré series and holomorphic averaging. Invent. math. (in press)Google Scholar
  2. [Gre] Greenleaf, F.P.: Invariant Means on Topological Groups. Princeton: Van Nostrand 1969Google Scholar
  3. [Kra] Kra, I.: Automorphic Forms and Kleinian Groups. Reading, MA: Benjamin 1972Google Scholar
  4. [Mc1] McMullen, C.: Amenability, Poincaré series and quasiconformal maps. Invent. Math.97, 95–127 (1989)Google Scholar
  5. [Mc2] McMullen, C.: Iteration on Teichmüller space. Invent. Math.99, 425–454 (1990)Google Scholar
  6. [Mc3] McMullen, C.: Rational maps and Kleinian groups. In: Proceedings of the International Congress of Mathematicians Kyoto 1990, pp. 889–900, Berlin Heidelberg New York: Springer 1991Google Scholar
  7. [Mc4] McMullen, C.: Riemann surfaces and the geometrization of 3-manifolds. Bull. AMS26 (1992), to appearGoogle Scholar
  8. [Pier] Pier, J.P.: Amenable Locally Compact Groups. New York: Wiley Interscience 1984Google Scholar
  9. [Poin] Poincaré, H.: Mémoire sur les fonctions Fuchsiennes. Acta Math.1, 193–294, (1882/3)Google Scholar
  10. [Ros] Rosenblatt., J.M.: A generalization of Følner's condition. Math. Scand.33, 153–170, (1973)Google Scholar
  11. [Roy] Royden, H.L.: Real Analysis. New York: Macmillan 1963Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Curt McMullen
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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