Q. Y. Wu, W. Wang, “The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 2,Pages <nobr>396

This article is cited in 1 paper

The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces

Q. Y. Wu^ab, W. Wang^a

^a Department of Mathematics, Zhejiang University, Zhejiang, P. R. China
^b Department of Mathematics, Linyi University, Shandong, P. R. China

Abstract: We show that quasiconformal mappings on strongly pseudoconvex hypersurfaces satisfy a system of Beltrami equations. In particular, the 1-quasiconformal mappings on these surfaces are CR or anti-CR mappings. Furthermore, if these surfaces are also real-analytic and nonspherical, then 1-quasiconformal mappings on them, which fix a point, can be linearized.

Keywords: quasiconformal mapping, strongly pseudoconvex hypersurface, Beltrami equation, CR mapping.

UDC: 517.548.2

Received: 06.08.2009
Revised: 30.10.2011