TY - JOUR
T1 - A Sufficient Condition for Rigidity in Extremality of Teichmüller Equivalence Classes by Schwarzian Derivative
JO - Analysis in Theory and Applications
VL - 1
SP - 130
EP - 135
PY - 2014
DA - 2014/03
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n1.9
UR - https://global-sci.org/intro/article_detail/ata/4478.html
KW - Strebel points, the Schwarzian derivative, asymptotically conformal maps.
AB - <p style="text-align: justify;">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 Teichmüller equivalence class that is a Strebel
point and that is not an asymptotically conformal class.</p>