Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric polynomial minimal surfaces of arbitrary degree   Weierstrass representation is a classical parameterization of minimal
surfaces. However, two functions should be specified to construct the
parametric form in Weierestrass representation. In this paper, we propose an
explicit parametric form for a class of parametric polynomial minimal surfaces
of arbitrary degree. It includes the classical Enneper surface for cubic case.
The proposed minimal surfaces also have some interesting properties such as
symmetry, containing straight lines and self-intersections. According to the
shape properties, the proposed minimal surface can be classified into four
categories with respect to $n=4k-1$ $n=4k+1$, $n=4k$ and $n=4k+2$. The explicit
parametric form of corresponding conjugate minimal surfaces is given and the
isometric deformation is also implemented.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int