Israel Journal of Mathematics

, Volume 60, Issue 1, pp 89–127

Families of univalent functions and Kleinian groups

  • Irwin Kra

DOI: 10.1007/BF02766172

Cite this article as:
Kra, I. Israel J. Math. (1987) 60: 89. doi:10.1007/BF02766172


The paper treats two topics. We obtain new characterizations of quasidiscs using theλ-lemma. We study regularb-groups by combining results on holomorphic families of injections with theorems on algebraic convergence of Kleinian groups and the structure of the Eichler cohomology spaces. We also obtain results about projective structures whose developing maps are coverings.

Copyright information

© Hebrew University 1987

Authors and Affiliations

  • Irwin Kra
    • 1
    • 2
  1. 1.State University of New York at Stony BrookStony BrookUSA
  2. 2.Mathematical Sciences Research InstituteBerkeleyUSA

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