Interactions Between Differential Geometry and Production Theory

The use of differential geometry in the theory of production is an interesting topic that has attracted the attention of many researchers in the last two decades, both from the fields of mathematics and economics. The purpose of this work is to provide a comprehensive survey on the properties of the homogeneous and quasi-homogeneous production models, most of these properties being of geometric nature and obtained using a differential geometric treatment. Some open problems are also discussed at the end of the article.