Muhittin Evren Aydin

Isotropic geometry of graph surfaces associated with product production functions in economics

A production function is a mathematical formalization in economics which denotes the relations between the output generated by a firm, an industry or an economy and the inputs that have been used in obtaining it. In this paper, we study the product production functions of 2 variables in terms of the geometry of their associated graph surfaces in the isotropic

Ruled surfaces generated by elliptic cylindrical curves in the isotropic space

3-

The Inverse Surfaces Of Tangent Developables With Respect To Sc(r)

space

Some inequalities on submanifolds in statistical manifolds of constant curvature

\mathbb{I}^{3}

A generalization of translation surfaces with constant curvature in the isotropic space

. In particular, we derive several classification results for the graph surfaces of product production functions in

Classification of Quasi-Sum Production Functions with Allen Determinants

\mathbb{I}^{3}

Wintgen inequality for statistical surfaces

with constant curvature.

CLASSIFICATION OF FACTORABLE SURFACES IN THE PSEUDO-GALILEAN SPACE

Abstract In this paper we study the ruled surfaces generated by elliptic cylindrical curves in the isotropic 3-space 𝕀 3 {\mathbb{I}^{3}} . We classify such surfaces in 𝕀 3 {\mathbb{I}^{3}} with constant curvature and satisfying an equation in terms of the components of the position vector field and the Laplacian operator. Several examples are given and illustrated by figures.

Linear Weingarten factorable surfaces in isotropic spaces

In this paper, we define the inverse surface of a tangent developable surface with respect to the sphere S_{c}(r) with the center

Affine translation surfaces in the isotropic 3-space

c\in \mathbb{E}^{3}