10 citations · 32 across the 17 of their papers we have counts for
7 papers · 1 filter
Surfaces given with the Monge patch in E^4
Betul Bulca, Kadri Arslan
A depth surface of E^3 is a range image observed from a single view can be represented by a digital graph (Monge patch) surface . That is, a depth or range value at a point (u,v) i…
On generalized Robertson-Walker spacetimes satisfying some curvature condition
Kadri Arslan, Ryszard Deszcz, Ridvan Ezentas +2
We give necessary and sufficient conditions for warped product manifolds with 1-dimensional base, and in particular, for generalized Robertson-Walker spacetimes, to satisfy some ge…
Coordinate Finite Type Rotational Surfaces in Euclidean Spaces
B. K. Bayram, K. Arslan, N. Onen +1
Submanifolds of coordinate finite-type were introduced in HV1. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eig…
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…
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…
Semiparalel Wintgen Ideal Surfaces in E^n
Betul Bulca, Kadri Arslan
Wintgen ideal surfaces in E^4 form an important family of surfaces, namely surfaces with circular ellipse of curvature. Obviously, Wintgen ideal surfaces satisfy the pointwise equa…