Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of quasi-sum production functions with constant elasticity of
  substitution property   A production function $f$ is called quasi-sum if there are strict monotone
functions $F, h_1,...,h_n$ with $F'>0$ such that $$f(x)= F(h_1 (x_1)+...+h_n
(x_n)).$$ The justification for studying quasi-sum production functions is that
these functions appear as solutions of the general bisymmetry equation and they
are related to the problem of consistent aggregation.
  In this article, first we present the classification of quasi-sum production
functions satisfying the constant elasticity of substitution property. Then we
prove that if a quasi-sum production function satisfies the constant elasticity
of substitution property, then its graph has vanishing Gauss-Kronecker
curvature (or its graph is a flat space) if and only if the production function
is either a linearly homogeneous generalized ACMS function or a linearly
homogeneous generalized Cobb-Douglas function.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph