2 results
HAMILTON SEQUENCES FOR EXTREMAL QUASICONFORMAL MAPPINGS OF DOUBLY-CONNECTED DOMAINS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 88 / Issue 3 / December 2013
- Published online by Cambridge University Press:
- 22 March 2013, pp. 376-379
- Print publication:
- December 2013
-
- Article
-
- You have access
- Export citation
-
Let
$T(S)$ be the Teichmüller space of a hyperbolic Riemann surface 
$S$. Suppose that 
$\mu $ is an extremal Beltrami differential at a given point 
$\tau $ of 
$T(S)$ 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 $. S. Wu [‘Hamilton sequences for extremal quasiconformal mappings of the unit disk’, Sci. China Ser. A 42 (1999), 1033–1042] gave a positive answer to this problem in the case where 
$S$ is the unit disc. In this paper, we show that it is also true when 
$S$ is a doubly-connected domain.
ON INFINITESIMAL TEICHMÜLLER SPACE
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 78 / Issue 2 / October 2008
- Published online by Cambridge University Press:
- 01 October 2008, pp. 293-300
- Print publication:
- October 2008
-
- Article
-
- You have access
- Export citation
