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Lines of minima are uniformly quasigeodesic
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Choi, Young-Eun, Rafi, Kasra and Series, Caroline (2008) Lines of minima are uniformly quasigeodesic. Pacific Journal of Mathematics, Vol.237 (No.1). pp. 21-44. doi:10.2140/pjm.2008.237.21 ISSN 0030-8730.
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Abstract
We continue the comparison between lines of minima and Teichmuller geodesics begun in our previous work. For two measured laminations nu(+) and nu(-) that fill up a hyperbolizable surface S and for t is an element of (-infinity, infinity), let L-t be the unique hyperbolic surface that minimizes the length function e(t) l(nu(+)) + e(-t) l(nu(-)) on Teichmuller space. We prove that the path t bar right arrow L-t is a Teichmuller quasigeodesic.
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): | Maxima and minima, Teichmüller spaces, Geodesics (Mathematics) | ||||
Journal or Publication Title: | Pacific Journal of Mathematics | ||||
Publisher: | University of California, Berkeley | ||||
ISSN: | 0030-8730 | ||||
Official Date: | September 2008 | ||||
Dates: |
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Volume: | Vol.237 | ||||
Number: | No.1 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 21-44 | ||||
DOI: | 10.2140/pjm.2008.237.21 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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