Univalent Harmonic Mappings and Lift to the Minimal Surfaces
- 作者: Jiang Y.1, Liu Z.2, Ponnusamy S.3
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隶属关系:
- School of Mathematics and Econometrics
- College of Science
- Department of Mathematics
- 期: 卷 40, 编号 9 (2019)
- 页面: 1295-1312
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205470
- DOI: https://doi.org/10.1134/S1995080219090099
- ID: 205470
如何引用文章
详细
We construct sense-preserving univalent harmonic mappings which map the unit disk onto a domain which is convex in the horizontal direction, but with varying dilatation. Also, we obtain minimal surfaces associated with such harmonic mappings. This solves also a recent problem of Dorff and Muir. In several of the cases, we illustrate mappings together with their minimal surfaces pictorially with the help of Mathematica software.
作者简介
Yue Jiang
School of Mathematics and Econometrics
编辑信件的主要联系方式.
Email: ypjiang731@163.com
中国, Changsha, Hunan, 410082
Zhihong Liu
College of Science
编辑信件的主要联系方式.
Email: liuzhihongmath@163.com
中国, Guilin, Guangxi, 541004
Saminathan Ponnusamy
Department of Mathematics
编辑信件的主要联系方式.
Email: samy@iitm.ac.in
印度, Chennai, 600 036