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.

___

  • [1] 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.