On some geometric properties of quasi-sum production models

On some geometric properties of quasi-product production models

“…We outline that such kind of results are of great interest not only in economic analysis [1,22], but also in the classical differential geometry, where the study of hypersurfaces with certain curvature properties is one of the basic problems [6]. Motivated by the above works, in the present paper we derive the main properties of quasi-product production models in economics in terms of the geometry of their graph hypersurfaces, generalizing in a new setting some recent results concerning quasi-sum and homothetic production models [9,12,31].…”

Galilean geometry of corresponding surfaces to production models in economics

“…Chen, et al [10,17] investigated the graph hypersurfaces of the production models via the isotropic geometry. For further study of graph hypersurfaces of production functions we refer the reader to [3][4][5][6][9][10][11][12][13][14][15].…”

Notes on isotropic geometry of production models

“…Minimality condition of production hypersurfaces was first studied by the first author in [5]. It is proved in [4] that a 2-input homogenous production function is a perfect substitute if and only if the production surface is minimal.…”

“…[5] A 2-input homogeneous production function is a perfect substitute if and only if the production surface is a minimal surface in E 3 .…”