Ömer KİŞİ, Erhan GÜLER

3214

Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space

Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space

We study two parameters families of Bour-type and Enneper-type minimal surfaces using the Weierstrass representation in the four dimensional Euclidean space. We obtain implicit algebraic equations, degree and classes of the surfaces
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  • [1] Eisenhart, L.P. A Treatise on the Differential Geometry of Curves and Surfaces, Dover Publications, N.Y. 1909.
  • [2] Ganchev, G.; Milousheva, V. An invariant theory of surfaces in the four-dimensional Euclidean or Minkowski space. Pliska Stud. Math. Bulgar. 2012; 21, 177--200.
  • [3] Hoffman, D.A.; Osserman, R. The Geometry of the Generalized Gauss Map. Memoirs of the AMS, 1980.
  • [4] Moore, C. Surfaces of rotation in a space of four dimensions. The Annals of Math., 2nd Ser., 1919; 21(2), 81--93.
Celal Bayar Üniversitesi Fen Bilimleri Dergisi-Cover
  • ISSN: 1305-130X
  • Başlangıç: 2005
  • Yayıncı: Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü
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