3 citations · 5 across the 9 of their papers we have counts for
9 papers
Extension of a problem of Euler in and in
Muhittin Evren Aydin, Antonio Bueno, Rafael López
In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point in the Euclidean plane to the case that the ambient s…
Rectifying submanifolds of Riemannian manifolds with anti-torqued axis
Muhittin Evren Aydin, Adela Mihai, Cihan Özgür
In this paper we study rectifying submanifolds of a Riemannian manifold endowed with an anti-torqued vector field. For this, we first determine a necessary and sufficient condition…
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…
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…
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…
Classifications of translation surfaces in isotropic geometry with constant curvature
Muhittin Evren Aydin
We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvature under the condition that at least one of translating curves lie…