Annales Academię Scientiarum Fennicę

Mathematica

Volumen 33, 2008, 81-85

# AN APPLICATION OF THE TOPOLOGICAL
RIGIDITY OF THE SINE FAMILY

## Gaofei Zhang

Nanjing University, Department of Mathematics

Hankou Road, No. 22, Nanjing, 210093, P.R. China;
zhanggf 'at' hotmail.com

**Abstract.**
By using a result of Domķnguez
and Sienra on the topological rigidity of the Sine family, we
give a different proof of a result in [8] which says that, for
any bounded type irrational number 0 2\pi *i* \theta sin(*z*)
is a quasi-circle passing through exactly two critical points
\pi/2 and -\pi/2.

**2000 Mathematics Subject Classification:**
Primary 58F23; Secondary 37F10, 37F50, 30D35.

**Key words:**
Topological rigidity.

**Reference to this article:** G. Zhang:
An application of the topological rigidity of the Sine family
Ann. Acad. Sci. Fenn. Math. 33 (2008), 81-85.

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