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

Tom 142 / 2016

Gerd Dethloff, Pham Hoang Ha, Pham Duc Thoan Colloquium Mathematicum 142 (2016), 149-167 MSC: Primary 53A10; Secondary 53C42, 30D35, 32H30. DOI: 10.4064/cm142-2-1

Streszczenie

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

Autorzy

  • Gerd DethloffUniversité Européenne de Bretagne
    France
    and
    Université de Brest
    Laboratoire de Mathématiques
    de Bretagne Atlantique –
    UMR CNRS 6205
    6, avenue Le Gorgeu, BP 452
    29275 Brest Cedex, France
    e-mail
  • Pham Hoang HaDepartment of Mathematics
    Hanoi National University of Education
    136 XuanThuy St.
    Hanoi, Vietnam
    e-mail
  • Pham Duc ThoanDepartment of Information Technology
    National University of Civil Engineering
    55 Giai Phong St.
    Hanoi, Vietnam
    e-mail

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