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Applications Of The Space Differential Geometry At The Study Of Production Functions

Author

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  • Catalin Angelo IOAN

    (“DANUBIUS”University of Galati)

Abstract

This paper is a new onset about production functions. Because all papers on this subject use the projections of production functions on a plan, the analysis becomes heavy and less general in conclusions, and for this reason we made a treatment from the point of view of differential geometry in space. On the other hand, we generalise the Cobb-Douglas, CES and Sato production functions to a unique form and we made the analysis on this. The conclusions of the paper allude to the principal directions of the surface (represented by the graph of the production function) i.e. the directions in which the function varies the best. Also the concept of the total curvature of a surface is applied here and we obtain that it is null in every point, that is all points are parabolic. We compute also the surface element which is useful to finding all production (by means the integral) when both labour and capital are variable

Suggested Citation

  • Catalin Angelo IOAN, 2007. "Applications Of The Space Differential Geometry At The Study Of Production Functions," EuroEconomica, Danubius University of Galati, issue 18, pages 30-37, March.
    • Handle: RePEc:dug:journl:y:2007:i:18:p:30-37
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    File URL: http://journals.univ-danubius.ro/index.php/euroeconomica/article/view/329/311
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    Cited by:

    1. Catalin Angelo Ioan, 2010. "A Generalization of Some Production Functions," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 1(1), pages 110-123, March.
    2. Catalin Angelo Ioan, 2009. "The Production Functions from the Point of View of 3- Dimensional Geometry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 1(1), pages 7-15, September.
    3. Alin Cristian Ioan, 2014. "A Study of Cobb-Douglas Production Function with Differential Geometry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(6), pages 67-74, December.

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