CURVES ON THE UNIT 3-SPHERE S3(1) IN EUCLIDEAN 4-SPACE ℝ4

Title & Authors
CURVES ON THE UNIT 3-SPHERE S3(1) IN EUCLIDEAN 4-SPACE ℝ4
Kim, Chan Yong; Park, Jeonghyeong; Yorozu, Sinsuke;

Abstract
We show many examples of curves on the unit 2-sphere $\small{S^2(1)}$ in $\small{\mathbb{R}^3}$ and the unit 3-sphere $\small{S^3(1)}$ in $\small{\mathbb{R}^4}$. We study whether its curves are Bertrand curves or spherical Bertrand curves and provide some examples illustrating the resultant curves.
Keywords
spherical curve;Bertrand curve;spherical Bertrand curve;
Language
English
Cited by
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