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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…