Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 419-424

WANDERING DOMAINS FOR DIFFEOMORPHISMS OF THE k-TORUS: A REMARK ON A THEOREM BY NORTON AND SULLIVAN

Andrés Navas

Univ. de Santiago de Chile, Fac. de Ciencia, Dpto de Matemática y C.C.
Alameda 3363, Estación Central, Santiago, Chile; andres.navas 'at' usach.cl

Abstract. We show that there is no C^k+1 diffeomorphism of the k-torus which is semiconjugate to a minimal translation and has a wandering domain all of whose iterates are Euclidean balls.

2010 Mathematics Subject Classification: Primary 30L10, 37C05, 37E30.

Key words: Denjoy's theorem, quasi-conformal map, distortion.

Reference to this article: A. Navas: Wandering domains for diffeomorphisms of the k-torus: a remark on a theorem by Norton and Sullivan. Ann. Acad. Sci. Fenn. Math. 43 (2018), 419-424.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4314