دورية أكاديمية
A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings
| العنوان: | A Family of Minimal Surfaces and Univalent Planar Harmonic Mappings |
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| المؤلفون: | Michael Dorff, Stacey Muir |
| المصدر: | Abstract and Applied Analysis, Vol 2014 (2014) |
| بيانات النشر: | Wiley, 2014. |
| سنة النشر: | 2014 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | We present a two-parameter family of minimal surfaces constructed by lifting a family of planar harmonic mappings. In the process, we use the Clunie and Sheil-Small shear construction for planar harmonic mappings convex in one direction. This family of minimal surfaces, through a continuous transformation, has connections with three well-known surfaces: Enneper’s surface, the wavy plane, and the helicoid. Moreover, the identification process used to recognize the surfaces provides a connection to surfaces that give tight bounds on curvature estimates first studied in a 1988 work by Hengartner and Schober. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1085-3375 1687-0409 |
| Relation: | https://doaj.org/toc/1085-3375; https://doaj.org/toc/1687-0409 |
| DOI: | 10.1155/2014/476061 |
| URL الوصول: | https://doaj.org/article/5bd1a84eba764199a52c6180c654aab5 |
| رقم الأكسشن: | edsdoj.5bd1a84eba764199a52c6180c654aab5 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10853375 16870409 |
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| DOI: | 10.1155/2014/476061 |