Volume 30, Issue 1
A Sufficient Condition for Rigidity in Extremality of Teichmüller Equivalence Classes by Schwarzian Derivative

M. Yanagishita

Anal. Theory Appl., 30 (2014), pp. 130-135.

Published online: 2014-03

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  • Abstract

The Strebel point is a Teichmüller equivalence class in the Teichmüller space that has a certain rigidity in the extremality of the maximal dilatation. In this paper, we give a sufficient condition in terms of the Schwarzian derivative for a Teichmüller equivalence class of the universal Teichmüller space under which the class is a Strebel point. As an application, we construct a Teichm üller equivalence class that is a Strebel point and that is not an asymptotically conformal class.

  • Keywords

Strebel points the Schwarzian derivative asymptotically conformal maps

  • AMS Subject Headings

30F60 30C62

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-30-130, author = {M. Yanagishita}, title = {A Sufficient Condition for Rigidity in Extremality of Teichmüller Equivalence Classes by Schwarzian Derivative}, journal = {Analysis in Theory and Applications}, year = {2014}, volume = {30}, number = {1}, pages = {130--135}, abstract = {

The Strebel point is a Teichmüller equivalence class in the Teichmüller space that has a certain rigidity in the extremality of the maximal dilatation. In this paper, we give a sufficient condition in terms of the Schwarzian derivative for a Teichmüller equivalence class of the universal Teichmüller space under which the class is a Strebel point. As an application, we construct a Teichm üller equivalence class that is a Strebel point and that is not an asymptotically conformal class.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n1.9}, url = {http://global-sci.org/intro/article_detail/ata/4478.html} }
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