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math.DG2013★ 2 cited
Meridian Surface of Weingarten Type in 4-dimensional Euclidean Space E^4
Gunay Ozturk, Betul Bulca, Bengu Kilic Bayram +1
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 Wein…
math.DG2013
Focal Representation of k-slant Helices in E^{m+1}
Gunay Ozturk, Betul Bulca, Bengu Bayram +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 whos…