Truncations of extremal quasiconformal mappings and their applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:331

Article

Chen, Xingdi ; Fang, Ainong

关键词: unique extremality;    strebel points;    Hamilton sequences;    truncations;    quasiconformal deformations;   

DOI  :  10.1016/j.jmaa.2006.09.062

来源: Elsevier

【 摘 要 】

In this paper we give a necessary and sufficient condition to decide whether the Teichmuller equivalency class [alpha] of a truncation alpha induced by a uniquely extremal Beltrami differential is a Strebel point in T. We also obtain a necessary and sufficient condition of the unique extremality of alpha. Using the properties of truncations we provide a method to construct Hamilton sequences. We also get a sufficient condition for the extremality of f (z, t) to be equivalent to that of F(w, t). The corresponding results in the infinitesimal case are obtained, too. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free