Separable hypersurfaces and their applications in microeconomics

In this thesis, literature knowledge about the arguments that are the basic of the subject is included and separable surfaces that contain many surface types are discussed. These surfaces are examined in terms of Gaussian curvature which is an important curvature invariant and we obtain a result when the Gaussian curvature is identically zero. Based on separable surfaces, the concept of separable hypersurfaces in Euclidean space is defined and those with zero Gauss- Kronecker curvature are classified. Production functions, one of the key concepts in the modeling of production processes in microeconomics, are introduced and related studies are mentioned where differential geometric approaches are useful in the analysis of production models. In addition, the classification results obtained in the thesis are interpreted in terms of production functions and some new ideas are made for new studies that could be produced from this thesis.