Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine translation hypersurfaces in Euclidean and isotropic spaces   In this paper, we extend the notion of affine translation surfaces introduced
by Liu and Yu (Proc. Japan Acad. Ser. A Math. Sci. 89, 111--113, 2013) in a
Euclidean space R^{3} to higher dimensional ambient spaces. We provide that an
affine translation hypersurface of constant Gauss-Kronocker curvature K_{0} in
R^{n+1} is a cylinder, i.e. K_{0}=0. As further applications we describe such
hypersurfaces in the isotropic spaces satisfying certain conditions on the
isotropic curvatures and the Laplacian.

24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics