On Geodesics in Asymptotic Universal Teichmüller Space
2016 ◽
Vol 59
(4)
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pp. 1065-1074
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AbstractLet AT(Δ) be the asymptotic universal Teichmüller space, viewed as the space of all asymptotic Teichmüller equivalence classes [[μ]]. We show that ifμis asymptotically extremal in AT(Δ) andhp([[μ]]) <h([[μ]]) for some boundary pointpofΔ, then there are infinitely many geodesics joining [[0]] and [[μ]] in AT(Δ). As a corollary, a necessary condition for a complex dilatation to be uniquely extremal in AT(Δ) is given.
2005 ◽
Vol 26
(04)
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pp. 537-542
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1995 ◽
Vol 42
(2)
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pp. 368-410
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Keyword(s):
2002 ◽
pp. 457-492
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1995 ◽
Vol 15
(3)
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pp. 227-251
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2018 ◽
Vol 2020
(8)
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pp. 2542-2560
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Keyword(s):
2010 ◽
Vol 140
(3)
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pp. 651-672
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