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zbMATH Open
Article . 2023
Data sources: zbMATH Open
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ON ADJOINT CURVES OF FRAMED CURVES AND SOME RULED SURFACES

On adjoint curves of framed curves and some ruled surfaces
Authors: Yazici, Bahar Dogan; Karakus, Siddika Ozkaldi; Tosun, Murat;

ON ADJOINT CURVES OF FRAMED CURVES AND SOME RULED SURFACES

Abstract

Summary: In this study, we introduce the adjoint curves of framed curves. We examine some characterizations of adjoint curve of a framed curve. In addition, we give the conditions for framed curves and adjoint curves to be Bertrand and Mannheim curves. Then, we introduce adjoint curves of Frenet-type framed curves and give ruled surfaces related to adjoint curves. Finally, we create normal and binormal surfaces of the framed adjoint curves and obtain some characterizations of these surfaces and we support by the results with figures.

Country
Turkey
Related Organizations
Keywords

Surfaces in Euclidean and related spaces, Bertrand curves, ruled surfaces, framed adjoint curves, Curves in Euclidean and related spaces, Rational and ruled surfaces, framed curves, Mannheim curves

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green