A New Generalization of Some Curve Pairs

DOI10.36890/iejg.1110327zbMath1506.53002OpenAlexW4295833606WikidataQ114024118 ScholiaQ114024118MaRDI QIDQ5058086

Oguzhan Celik, Mustafa Özdemir

Publication date: 2 December 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1110327

zbMATH Keywords

Bäcklund transformationconstant torsion curvesBertrand matecurve mates

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Cites Work

• Associated curves of a Frenet curve and their applications
• Bäcklund transformation for non-lightlike curves in Minkowski 3-space
• On generalized Mannheim curves in Euclidean 4-space
• Bäcklund transformations and their applications
• On helices and Bertrand curves in Euclidean 3-space
• Generic properties of helices and Bertrand curves
• New representations of Bertrand pairs in Euclidean 3-space
• Mannheim partner curves in 3-space
• ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE
• SOME CHARACTERIZATIONS OF OSCULATING CURVES IN THE EUCLIDEAN SPACES
• BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION
• Generalized Bertrand Curves with Spacelike $\left(1,3\right) $-Normal Plane in Minkowski Space-Time
• A characterization of involutes and evolutes of a given curve in $\mathbb{E}^{n}$
• Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
• On Pseudo Null Bertrand Curves in Minkowski Space-time
• Null Bertrand curves in Minkowski 3-space and their characterizations
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