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Hyperbolic spaces in Teichmüller spaces
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Leininger, Christopher and Schleimer, Saul (2014) Hyperbolic spaces in Teichmüller spaces. Journal of the European Mathematical Society, 16 (12). pp. 2669-2692. doi:10.4171/JEMS/495 ISSN 1435-9855.
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Official URL: http://dx.doi.org/10.4171/JEMS/495
Abstract
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space Hn almost-isometrically embeds into the Teichm�üller space of S, with quasi-convex image lying in the thick part. As a consequence, Hn quasi-isometrically embeds in the curve complex of S.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Hyperbolic spaces, Teichmüller spaces, Quasiconformal mappings | ||||||||||||
Journal or Publication Title: | Journal of the European Mathematical Society | ||||||||||||
Publisher: | European Mathematical Society Publishing House | ||||||||||||
ISSN: | 1435-9855 | ||||||||||||
Official Date: | 22 December 2014 | ||||||||||||
Dates: |
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Volume: | 16 | ||||||||||||
Number: | 12 | ||||||||||||
Page Range: | pp. 2669-2692 | ||||||||||||
DOI: | 10.4171/JEMS/495 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 27 November 2019 | ||||||||||||
Date of first compliant Open Access: | 27 November 2019 | ||||||||||||
RIOXX Funder/Project Grant: |
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