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Geometric finiteness, quasiconformal stability and surjectivity of the Bers map for Kleinian groups

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Publication:1188481
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DOI10.2748/tmj/1178227457zbMath0762.30019OpenAlexW1970396604MaRDI QIDQ1188481

Katsuhiko Matsuzaki

Publication date: 13 August 1992

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227457


zbMATH Keywords

quadratic differentialsBers map


Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)


Related Items

Quasiconformal stability of Kleinian groups and an embedding of a space of flat conformal structures



Cites Work

  • Homomorphisms of finitely generated Kleinian groups
  • Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups
  • On stability of finitely generated Kleinian groups
  • Constructibility and geometric finiteness of Kleinian groups
  • Cohomology of finitely generated Kleinian groups with an invariant component
  • Quasi-conformal stability of finitely generated function groups
  • The geometry of finitely generated Kleinian groups
  • Decomposition of certain Kleinian groups
  • Geometric Decompositions of Kleinian Groups
  • Self-Maps on Kleinian Groups
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