Null quaternionic Bertrand partner curves

DOI10.1007/s40995-017-0182-4zbMath1397.53004OpenAlexW2600587478MaRDI QIDQ1787818

Tanju Kahraman

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0182-4

zbMATH Keywords

Serret-Frenet formulaeBertrand partner curvesnull quaternionic curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (1)

Frontal partner curves on unit sphere \(S^2\)

Cites Work

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• Bertrand curves in the three-dimensional sphere
• General properties of Bertrand curves in Riemann-Otsuki space
• Quaternion valued function of a real variable. Serret-Frenet formulae
• Generic properties of helices and Bertrand curves
• On the quaternionic inclined curves in the semi-Euclidean space \(E_{2}^{4}\)
• Bertrand Partner D-Curves in Minkowski 3-space
• On Pseudo Null Bertrand Curves in Minkowski Space-time
• Null Bertrand curves in Minkowski 3-space and their characterizations

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