5 papers
On Generalized Spherical Surfaces in Euclidean Spaces
Bengu Bayram, Kadri Arslan, Betul Bulca
In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean space $\mathbb{E}^{…
A characterization of involutes and evolutes of a given curve in
Günay Öztürk, Kadri Arslan, Betü Bulca
The orthogonal trajectories of the first tangents of the curve are called the involutes of . The hyperspheres which have higher order contact with a curve are known osculati…
Semi-parallel Meridian Surfaces in
Betül Bulca, Kadri Arslan
In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersu…
Surface Pencils in Euclidean 4-space
Betül Bulca, Kadri Arslan
In the present paper we study the problem of constructing a family of surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space . We have shown…
Pseudo-Riemannian Submanifolds with 3-Planar Geodesics
Kadri Arslan, Betül Bulca, Günay Öztürk
In the present paper we study pseudo-Riemannian submanifolds which have 3-planar geodesic normal sections.We consider W-curves (helices) on pseudo-Riemannian submanifolds. Finally,…