Quasiconformal mappings of Y-pieces.

Christopher J. Bishop

Revista Matemática Iberoamericana (2002)

  • Volume: 18, Issue: 3, page 627-652
  • ISSN: 0213-2230

Abstract

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In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.

How to cite

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Bishop, Christopher J.. "Quasiconformal mappings of Y-pieces.." Revista Matemática Iberoamericana 18.3 (2002): 627-652. <http://eudml.org/doc/39697>.

@article{Bishop2002,
abstract = {In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.},
author = {Bishop, Christopher J.},
journal = {Revista Matemática Iberoamericana},
keywords = {Superficies Riemann; Dimensión de Hausdorff; Aplicaciones cuasiconformes; Grupos fuchsianos; Y-pieces; Hausdorff dimension; quasi-Fuchsian groups; quasiconformal deformation, critical exponent; convex core},
language = {eng},
number = {3},
pages = {627-652},
title = {Quasiconformal mappings of Y-pieces.},
url = {http://eudml.org/doc/39697},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Bishop, Christopher J.
TI - Quasiconformal mappings of Y-pieces.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 3
SP - 627
EP - 652
AB - In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.
LA - eng
KW - Superficies Riemann; Dimensión de Hausdorff; Aplicaciones cuasiconformes; Grupos fuchsianos; Y-pieces; Hausdorff dimension; quasi-Fuchsian groups; quasiconformal deformation, critical exponent; convex core
UR - http://eudml.org/doc/39697
ER -

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