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A Study of Cobb-Douglas Production Function with Differential Geometry

Author

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  • Alin Cristian Ioan

    () (Nicolae Oncescu College)

Abstract

In this paper we shall made an analysis of Cobb-Douglas production function from the differential point of view. We shall obtain some interesting results about the nature of the points of the surface, the total curvature, 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

  • 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.
  • Handle: RePEc:dug:actaec:y:2014:i:6:p:67-74
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    File URL: http://journals.univ-danubius.ro/index.php/oeconomica/article/view/2490/2305
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    References listed on IDEAS

    as
    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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