Smarandache Curves According to Bishop Frame in Euclidean 3-Space
Muhammed \c{C}etin, Y{\i}lmaz Tun\c{c}er, Murat Kemal Karacan
TL;DR
This paper explores special Smarandache curves in Euclidean 3-space using Bishop frames, analyzing their geometric properties and determining centers of osculating and curvature spheres.
Contribution
It introduces new differential geometric properties of Smarandache curves based on Bishop frames and calculates their osculating and curvature sphere centers.
Findings
Derived geometric properties of Smarandache curves
Calculated centers of osculating spheres
Calculated centers of curvature spheres
Abstract
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
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Taxonomy
TopicsMathematics and Applications