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The Production Functions from the Point of View of 3- Dimensional Geometry

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  • Catalin Angelo Ioan

    () (“Danubius” University of Galati)

Abstract

In this paper we shall make an analysis of production functions from the space point of view. We shall obtain some interesting results like that all the points of the surface are parabolic, the total curvature is always null, the conditions when a production function is minimal and finally we give the equations of the geodesics on the surface i.e. the curves of minimal length between two points.

Suggested Citation

  • 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.
  • Handle: RePEc:dug:actaec:y:2009:i:1:p:7-15
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    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/69/66
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    References listed on IDEAS

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    1. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    2. 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.
    3. S K Mishra, 2010. "A Brief History of Production Functions," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(4), pages 6-34, November.
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    Cited by:

    1. Catalin Angelo Ioan & Gina Ioan, 2014. "Mathematics and Microeconomics," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(2), pages 100-108, April.

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    Keywords

    production functions; metric; curvature; geodesic;

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