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Published in 2019 at "manuscripta mathematica"
DOI: 10.1007/s00229-020-01201-6
Abstract: We define a universal Teichmüller space for locally quasiconformal mappings whose dilatation grows not faster than a certain rate. We prove results of existence and uniqueness for extremal mappings in the generalized Teichmüller class. Further,…
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Keywords:
teichm ller;
ller spaces;
locally quasiconformal;
quasiconformal teichm ... See more keywords
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Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.10.014
Abstract: Abstract The angular geometry of asymptotic Teichmuller spaces is studied. Although it has been proved that the angles between any two geodesic rays from the base point of A T ( X ) always exist,…
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Keywords:
asymptotic teichm;
geometry asymptotic;
teichm ller;
ller spaces ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.029
Abstract: Abstract Recently, Wulan and Ye [36] introduced the Q K -Teichmuller spaces and proved some theorems about the theory of Q K -Teichmuller spaces. In this note, we continue to consider this theory and obtain…
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Keywords:
teichm ller;
ller spaces;
teichmuller spaces;
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1
Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123879
Abstract: Abstract We prove that, in any infinite dimensional or asymptotic Teichmuller space, the angles between Teichmuller geodesic rays issuing from a common point, defined by using the law of cosines, do not always exist. As…
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Keywords:
angles teichm;
ller spaces;
space;
teichm ller ... See more keywords