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Limits of limit sets I
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Mj, Mahan and Series, Caroline (2013) Limits of limit sets I. Geometriae Dedicata, Volume 167 (Number 1). pp. 35-67. doi:10.1007/s10711-012-9803-4 ISSN 0046-5755.
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Official URL: http://dx.doi.org/10.1007/s10711-012-9803-4
Abstract
We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly. If however the algebraic and geometric limits differ, as in the well known examples due to Kerckhoff and Thurston, then provided the geometric limit is geometrically finite, the maps of limit sets converge pointwise but not uniformly.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometriae Dedicata | ||||
Publisher: | Springer | ||||
ISSN: | 0046-5755 | ||||
Official Date: | December 2013 | ||||
Dates: |
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Volume: | Volume 167 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 35-67 | ||||
DOI: | 10.1007/s10711-012-9803-4 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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