Enviar artigo por via de e-mail Univalent Harmonic Mappings and Lift to the Minimal Surfaces
- Autores: Jiang Y.1, Liu Z.2, Ponnusamy S.3
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Afiliações:
- School of Mathematics and Econometrics
- College of Science
- Department of Mathematics
- Edição: Volume 40, Nº 9 (2019)
- Páginas: 1295-1312
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205470
- DOI: https://doi.org/10.1134/S1995080219090099
- ID: 205470
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Resumo
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.
Sobre autores
Yue Jiang
School of Mathematics and Econometrics
Autor responsável pela correspondência
Email: ypjiang731@163.com
República Popular da China, Changsha, Hunan, 410082
Zhihong Liu
College of Science
Autor responsável pela correspondência
Email: liuzhihongmath@163.com
República Popular da China, Guilin, Guangxi, 541004
Saminathan Ponnusamy
Department of Mathematics
Autor responsável pela correspondência
Email: samy@iitm.ac.in
Índia, Chennai, 600 036
