B-Lift curves and its ruled surfaces

B-Lift curves and its ruled surfaces

In this paper, we have described the B-Lift curve in Euclidean space as a curve obtained by combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we have explored the Frenet frames of the B-Lift curves. Moreover, we have introduced the tangent, normal and binormal surfa...

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Veröffentlicht in:Communications Series A1 Mathematics & Statistics 2023-03, Vol.72 (1), p.159-168
Hauptverfasser: ALTINKAYA, Anıl, ÇALIŞKAN, Mustafa
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ÇALIŞKAN, Mustafa
description In this paper, we have described the B-Lift curve in Euclidean space as a curve obtained by combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we have explored the Frenet frames of the B-Lift curves. Moreover, we have introduced the tangent, normal and binormal surfaces of the B-Lift curve and examined the geometric invariants of these surfaces. Finally, we have investigated the singularities of these surface and visualized the surfaces with MATLAB program.
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