A note on Hamilton sequences of extremal Beltrami differentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:469

Article

Li, Zhong¹  Li, Yezhou² 

[1] Peking Univ, Sch Math Sci, Beijing 100875, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

关键词: Quasiconformal mappings;    Extremal quasiconformal mappings;    Hamilton sequences;   

DOI  :  10.1016/j.jmaa.2018.04.078

来源: Elsevier

【 摘 要 】

Let X be a hyperbolic Riemann surface and let be an extremal Beltrami differential on X with parallel to mu parallel to(infinity) is an element of (0,1). It is proved that, if {phi(n)} is a Hamilton sequence of mu then {fin} must be a Hamilton sequence of any extremal Beltrami differential upsilon contained in [mu]. This result proved a conjecture of the first author of this paper in 1996. This result is also a generalization of two known results. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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