Hamilton sequences for extremal quasiconformal mappings of doubly-connected domains

Authors

  • G. Yao Department of Mathematical Sciences, Tsinghua University Beijing 100084

Keywords:

Teichmuller space, Hamilton sequence

Abstract

Let $\ts$ be the Teichmuller space of a hyperbolic Riemann surface $S$. Suppose $\mu$ is an extremal Beltrami differential at a given point $\tau$ of $\ts$ and $\{\phi_n\}$ is a Hamilton sequence for $\mu$. It is an open problem whether the sequence $\{\phi_n\}$ is always a Hamilton sequence for all extremal differentials in $\tau$. In 1999, Wu gave a positive answer to this problem in the case when $S$ is the unit disk. In this paper, we show that it is also true when $S$ is a doubly-connected domain. 10.1017/S0004972713000191

Published

2013-09-27

Issue

Vol. 88 No. 3 (2013)

Section

Articles
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