Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/47761
Title: A New Generalization of Some Curve Pairs
Authors: Çelik O.
Özdemir M.
Keywords: Backlund transformation
Bertrand mate
Constant torsion curves
Curve mates
Publisher: DergiPark
Abstract: In this study, we give a new curve pair that generalizes some of the famous pairs of curves as Bertrand and constant torsion curves. This curve pair is defined with the help of a vector obtained by the intersection of the osculating planes such that this vector makes the same angle with the tangents of the curves. We examine the relations between torsions and curvatures of these curve mates. Also, We have seen that the unit quaternion corresponding to the rotation matrix between the Frenet vectors of the curves is (Formula Presented), where ? is the angle between the reciprocal binormals of the curves. Finally, we show in which specific case which wellknown pairs of curves will be obtained. © 2022, International Electronic Journal of Geometry. All Rights Reserved.
URI: https://doi.org/10.36890/IEJG.1110327
https://hdl.handle.net/11499/47761
ISSN: 1307-5624
Appears in Collections:Bekilli Meslek Yüksekokulu Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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