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

Yıl 2017, Cilt: 13 Sayı: 1, 155 - 163, 30.03.2017

Erhan Güler , Ömer Kişi

https://doi.org/10.18466/cbayarfbe.302661

Cited By: 1

Öz

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.

Anahtar Kelimeler

4-space , surface , Weierstrass representation , degree , class

Kaynakça

• [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.