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 < \theta < 1, the boundary of the Siegel disk of e2\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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