3 papers
math.DG2018
Some Characterizations of Focal Surfaces of A Tubular Surface in E^3
Sezgin Büyükkütük, İlim Kişi, Günay Öztürk
Here, we focus on focal surfaces of a tubular surface in Euclidean 3-space E^3: Firstly, we give the tubular surfaces with respect to Frenet and Darboux frames. Then, we define foc…
math.DG2016
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…
math.DG2015
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,…