Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gauss Map of Hypersurfaces in 2-Step Nilpotent Lie Groups   In this paper we consider smooth oriented hypersurfaces in 2-step nilpotent
Lie groups with a left invariant metric and derive an expression for the
Laplacian of the Gauss map for such hypersurfaces in the general case and in
some particular cases. In the case of CMC-hypersurface in the
(2m+1)-dimensional Heisenberg group we also derive necessary and sufficient
conditions for the Gauss map to be harmonic and prove that for m=1 all
CMC-surfaces with the harmonic Gauss map are "cylinders".

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn