Abstract
In this paper, we study B-focal curves in the Euclidean 3-space E³. We characterize B-focal curves in terms of their focal curvatures.
Highlights
In the rest of the paper, we suppose everywhere κ(s) = 0 and τ (s) = 0
We study B−focal curves in the Euclidean 3-space E3
B−Focal Curves According To Bishop Frame In E3
Summary
We shall call the set {T, M1, M1} as Bishop trihedra and k1 and k2 as Bishop curvatures. The relation matrix may be expressed as T= T, N = cos θ (s) M1 + sin θ (s) M2, B = − sin θ (s) M1 + cos θ (s) M2, where θ (s) arctan k2 k1 Bishop curvatures are defined by k1 = κ(s) cos θ (s) , k2 = κ(s) sin θ (s) .
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