arXiv subjects

Gunay Ozturk

Publications and source records attributed to Gunay Ozturk.

3 recordsLinked to original sources

arXiv2014

A Characterization of Constant-Ratio Curves in Euclidean 3-Space E^3

A twisted curve in Euclidean 3-space E^3 can be considered as a curve whose position vector can be written as linear combination of its Frenet vectors. In the present study we study the twisted curves of constant ratio in E^3 and characterize such curves in terms of their curvature functions. Further, we obtain some results of T-constant and N-constant type twisted curves in E^3. Finally, we give some examples of equiangular spirals which are constant ratio curves.

math.DG↗

arXiv2013

Meridian Surface of Weingarten Type in 4-dimensional Euclidean Space E^4

In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E^4. We give the neccessary and sufficient conditions for a meridian surface in E^4 to become Weingarten type.

math.DG↗

arXiv2013

Focal Representation of k-slant Helices in E^{m+1}

A focal representation of a generic regular curve γ in E^{m+1} consists of the centers of the osculating hyperplanes. A k-slant helix γ in E^{m+1} is a (generic) regular curve whose unit normal vector V_{k} makes a constant angle with a fixed direction U in E^{m+1}. In the present paper we proved that if γ is a k-slant helix in E^{m+1}, then the focal representation C_{γ} of γ in E^{m+1} is a (m-k+2)-slant helix in E^{m+1}.

math.DG↗