ISOTROPIC GEOMETRY OF GRAPH SURFACES ASSOCIATEDWITH PRODUCT PRODUCTION FUNCTIONS IN ECONOMICS

Muhittin Evren Aydin ； Mahmut Ergut

《Tamkang Journal of Mathematics》 47卷4期 (2016/12) Pp. 433-443

https://doi.org/10.5556/j.tkjm.47.2016.2152

並列摘要

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.

並列關鍵字

Production function ； return to scale ； relative curvature ； isotropic mean curvature ； isotropic space