Isotropic geometry of graph surfaces associated with product production functions in economics
Differential Geometry
2017-06-05 v1
Abstract
A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this paper, we study the product production functions of 2 variables in terms of the geometry of their associated graph surfaces in the isotropic 3-space I^{3}. In particular, we derive several classification results for the graph surfaces of product production functions in I^{3} with constant curvature.
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Cite
@article{arxiv.1603.00222,
title = {Isotropic geometry of graph surfaces associated with product production functions in economics},
author = {Muhittin Evren Aydin and Mahmut Ergut},
journal= {arXiv preprint arXiv:1603.00222},
year = {2017}
}
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11 pages