location:  Publications → journals
Search results

Search: MSC category 32E20 ( Polynomial convexity )

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 1999 (vol 51 pp. 915)

Balogh, Zoltán M.; Leuenberger, Christoph
 Quasiconformal Contactomorphisms and Polynomial Hulls with Convex Fibers Consider the polynomial hull of a smoothly varying family of strictly convex smooth domains fibered over the unit circle. It is well-known that the boundary of the hull is foliated by graphs of analytic discs. We prove that this foliation is smooth, and we show that it induces a complex flow of contactomorphisms. These mappings are quasiconformal in the sense of Kor\'anyi and Reimann. A similar bound on their quasiconformal distortion holds as in the one-dimensional case of holomorphic motions. The special case when the fibers are rotations of a fixed domain in $\C^2$ is studied in details. Categories:32E20, 30C65
 top of page | contact us | privacy | site map |