Ramification of the Gauss map of complete minimal surfaces in $ℝ^{m}$ on annular ends

• Autorzy: Gerd Dethloff , Pham Hoang Ha , Pham Duc Thoan
• Języki publikacji: EN

Abstrakty

EN

We study the ramification of the Gauss map of complete minimal surfaces in $ℝ^{m}$ on annular ends. This is a continuation of previous work of Dethloff-Ha (2014), which we extend here to targets of higher dimension.

Kategorie tematyczne

• 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
• 30D35: Distribution of values, Nevanlinna theory
• 53A10: Minimal surfaces, surfaces with prescribed mean curvature
• 32H30: Value distribution theory in higher dimensions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 2
• Strony: 149-167

Daty

wydano

2016

Twórcy

autor

Gerd Dethloff

• Université Européenne de Bretagne, France
• Université de Brest, Laboratoire de Mathématiques, de Bretagne Atlantique -, UMR CNRS 6205, 6, avenue Le Gorgeu, BP 452, 29275 Brest Cedex, France

autor

Pham Hoang Ha

• Department of Mathematics, Hanoi National University of Education, 136 XuanThuy St., Hanoi, Vietnam

autor

Pham Duc Thoan

• Department of Information Technology, National University of Civil Engineering, 55 Giai Phong St., Hanoi, Vietnam

Identyfikatory

DOI

10.4064/cm142-2-1