Acta Universitatis Danubius. Œconomica, Vol. 5, No. 1
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.
References
Arrow, K.J., Chenery, H. B., Minhas, B.S. and Solow, R.M. (1961). Capital Labor Substitution and
Economic Efficiency. Review of Econ and Statistics, 63, pp. 225-250.
Cobb, C.W. and Douglas, P.H. (1928). A Theory of Production, American Economic Review. 18, pp.
139–165.
Ioan C.A. (2007). Applications of the space differential geometry at the study of production functions.
Euroeconomica 18, pp. 30-38.
Ioan C.A. (2004). Applications of geometry at the study of production functions. The Annals of
Danubius University. Fascicle I. Economics. pp. 27-39.
Kadiyala, K.R. (1972). Production Functions and Elasticity of Substitution. Southern Economic
Journal. 38(3). pp. 281-284.
Kmenta, J. (1967). On Estimation of the CES Production Function. International Economic Review
8(2), pp. 180-189.
Liu, T.C. and Hildebrand, G.H. (1965). Manufacturing Production Functions in the United States 1957.
Cornell Univ. Press, Ithaca.
Mishra, S.K. (2007). A Brief History of Production Functions. North-Eastern Hill University. Shillong,
India.
Revankar, N.S. (1971). A Class of Variable Elasticity of Substitution Production Functions.
Econometrica, 39 (1). pp. 61-71.
Sato, R. (1974). On the Class of Separable Non-Homothetic CES Functions. Economic Studies
Quarterly. 15. pp. 42-55.
Economic Efficiency. Review of Econ and Statistics, 63, pp. 225-250.
Cobb, C.W. and Douglas, P.H. (1928). A Theory of Production, American Economic Review. 18, pp.
139–165.
Ioan C.A. (2007). Applications of the space differential geometry at the study of production functions.
Euroeconomica 18, pp. 30-38.
Ioan C.A. (2004). Applications of geometry at the study of production functions. The Annals of
Danubius University. Fascicle I. Economics. pp. 27-39.
Kadiyala, K.R. (1972). Production Functions and Elasticity of Substitution. Southern Economic
Journal. 38(3). pp. 281-284.
Kmenta, J. (1967). On Estimation of the CES Production Function. International Economic Review
8(2), pp. 180-189.
Liu, T.C. and Hildebrand, G.H. (1965). Manufacturing Production Functions in the United States 1957.
Cornell Univ. Press, Ithaca.
Mishra, S.K. (2007). A Brief History of Production Functions. North-Eastern Hill University. Shillong,
India.
Revankar, N.S. (1971). A Class of Variable Elasticity of Substitution Production Functions.
Econometrica, 39 (1). pp. 61-71.
Sato, R. (1974). On the Class of Separable Non-Homothetic CES Functions. Economic Studies
Quarterly. 15. pp. 42-55.
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Published
2021-05-24
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Collective Authors. (2021). Acta Universitatis Danubius. Œconomica, Vol. 5, No. 1: Array. Acta Universitatis Danubius. Œconomica, 5(1). Retrieved from https://dj.univ-danubius.ro/index.php/AUDOE/article/view/1030
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