4 citations · 10 across the 8 of their papers we have counts for
9 papers
Constant curvature curves in dual affine and dual Lorentz-Minkowski planes
Muhittin Evren Aydın, Nursemin Çavdar, Mahmut Ergüt
In this paper, we first study invariants of curves parametrized by a real variable in the dual plane under equiaffine transformations. We then obtain explicit equati…
Singular minimal surfaces which are minimal
Muhittin Evren Aydin, Ayla Erdur, Mahmut Ergut
In the present paper, we discuss the singular minimal surfaces in a Euclidean 3-space R^{3} which are minimal. In fact, such a surface is nothing but a plane, a trivial outcome. Ho…
Singular minimal translation surfaces in Euclidean spaces endowed with semi-symmetric connections
Ayla Erdur, Muhittin Evren Aydin, Mahmut Ergut
In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension 3 endowed with a certain semi-symmetric (non-)metric connection.
Singular Minimal Translation Graphs in Euclidean Spaces
Ayla Erdur, Mahmut Ergut, Muhittin Evren Aydin
In this paper, we consider the problem of finding the hypersurface M^n in the Euclidean (n+1)-space R^{n+1} that satisfies an equation of mean curvature type, called singular minim…
On surfaces endowed with canonical principal direction in Euclidean spaces
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed…
Isotropic geometry of graph surfaces associated with product production functions in economics
Muhittin Evren Aydin, Mahmut Ergut
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…
Classification of homothetical hypersurfaces and its applications to production functions in economics
Muhittin Evren Aydin, Mahmut Ergut
In this paper, we completely classify the homothetical hypersurfaces having null Gauss-Kronocker curvature in a Euclidean (n+1)-space. Several applications to the production functi…
Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space
Alper Osman Öğrenmiş, Handan Öztekin, Mahmut Ergüt
The aim of this work is to study the Mannheim curves in 3-dimensional Galilean and Pseudo - Galilean space. We obtain the characterizations between the curvatures and torsions of t…
Special curves of 4d galilean space
Mehmet Bektaş, Mahmut Ergüt, Alper Osman Öğrenmiş
Special curves and their characterizations are one of the main area of mathematicians and physicians. As a special curve we will mainly focus on Mannheim curve which has the follow…