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Weierstrass representation degree and classes of the surfaces in the four dimensional Euclidean space
(Celal Bayar University, 2017)
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 ...
Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
(2018)
Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ...