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Notes on isotropic geometry of production models

The production function is one of the key concepts of mainstream neoclassical theories in economics. The study of the shape and properties of the production possibility frontier is a subject of great interest in economic analysis. In this respect, Cobb-Douglas and CES production functions with flat graph hypersurfaces in Euclidean spaces are first studied in [19,20]. Later, more general studies of production models were given in [4-10, 12, 21]. On the other hand, from visual-physical experiences, the second and third authors proposed in [14] to study production models via isotropic geometry. The purpose of this paper is thus to investigate important production models via isotropic geometry.