On harmonic mappings lifting to minimal surfaces
Mathematica, cilt.54, sa.77, ss.185-190, 2012 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 77
- Basım Tarihi: 2012
- Dergi Adı: Mathematica
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.185-190
- Anahtar Kelimeler: Distortion theorem, Harmonic mapping, Isothermal parametrization, Minimal surface, Weierstrass-enneper representation
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
The projection on the base plane of a regular minimal surface S in ℝ 3 with isothermal parameters defines a complex-valued univalent harmonic function f. We obtain distortion theorems for the Weierstrass-Enneper parameters and the Gaussian curvature of the minimal surface S, provided that the corresponding univalent harmonic function f belongs to the class S H *.