Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second order Contact of Minimal Surfaces   The minimal surface equation $Q$ in the second order contact bundle of $R^3$,
modulo translations, is provided with a complex structure and a canonical
vector-valued holomorphic differential form $Omega$ on $Q\0$. The minimal
surfaces $M$ in $R^3$ correspond to the complex analytic curves $C$ in $Q$,
where the derivative of the Gauss map sends $M$ to $C$, and $M$ is equal to the
real part of the integral of $\Omega$ over $C$. The complete minimal surfaces
of finite topological type and with flat points at infinity correspond to the
algebraic curves in $Q$.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin