Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the Gauss images of complete minimal surfaces in Euclidean
  four-space   We perform a systematic study of the image of the Gauss map for complete
minimal surfaces in Euclidean four-space. In particular, we give a geometric
interpretation of the maximal number of exceptional values of the Gauss map of
a complete orientable minimal surface in Euclidean four-space. We also provide
optimal results for the maximal number of exceptional values of the Gauss map
of a complete minimal Lagrangian surface in the complex two-space and the
generalized Gauss map of a complete nonorientable minimal surface in Euclidean
four-space.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat