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math.DG2023★ 1 cited
Classification of separable hypersurfaces with constant sectional curvature
Muhittin Evren Aydin, Rafael Lopez, Gabriel-Eduard Vilcu
In this paper, we give a full classification of the separable hypersurfaces of constant sectional curvature in the Euclidean -space . In dimension , this clas…
math.DG2023
Singular Miminal Ruled Surfaces
Muhittin Evren Aydin, Ayla Erdur Kara
In this paper we study surfaces with minimal potential energy under gravitational forces, called singular minimal surfaces. We prove that a singular minimal ruled surface in a Eucl…
math.DG2023★ 3 cited
A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves
Muhittin Evren Aydin, Aykut Has, Beyhan Yilmaz
In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane…