Isotropic geometry of graph surfaces associated with product production functions in economics

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Published: Dec 30, 2016
DOI: https://doi.org/10.5556/j.tkjm.47.2016.2152
Keywords:
Production function return to scale relative curvature isotropic mean curvature isotropic space

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Muhittin Evren Aydin
Mahmut Ergut

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 $\mathbb{I}^{3}$. In particular, we derive several classification results for the graph surfaces of product production functions in $\mathbb{I}^{3}$ with constant curvature.

Article Details

How to Cite
Aydin, M. E., & Ergut, M. (2016). Isotropic geometry of graph surfaces associated with product production functions in economics. Tamkang Journal of Mathematics, 47(4), 433–443. https://doi.org/10.5556/j.tkjm.47.2016.2152
Issue
Vol. 47 No. 4 (2016)
Section
Papers
Author Biographies

Muhittin Evren Aydin

Department ofMathematics, Firat University, 23119 Elazig, Turkey.

Mahmut Ergut

Department ofMathematics, Namik Kemal University, 59 000 Tekirdag.

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