Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Submanifolds with Biharmonic Gauss Map   We generalize the Ruh-Vilms problem by characterizing the submanifolds in
Euclidean spaces with proper biharmonic Gauss map and we construct examples of
such hypersurfaces.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg