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Curves on the unit 3-sphere S3(1) in Euclidean 4-space R4

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We show many examples of curves on the unit 2-sphere S2(1) in R3 and the unit 3-sphere S3(1) in R4. We study whether its curves are Bertrand curves or spherical Bertrand curves and provide some examples illustrating the resultant curves.

Abstract

We show many examples of curves on the unit 2-sphere S2(1) in R3 and the unit 3-sphere S3(1) in R4. We study whether its curves are Bertrand curves or spherical Bertrand curves and provide some examples illustrating the resultant curves.

참고문헌 (14)

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