Bull. Korean Math. Soc. 2013; 50(5): 1599-1622
Printed September 1, 2013
https://doi.org/10.4134/BKMS.2013.50.5.1599
Copyright © The Korean Mathematical Society.
Chan Yong Kim, JeongHyeong Park, and Sinsuke Yorozu
Sungkyunkwan University, Sungkyunkwan University, Miyagi University of Education
We show many examples of curves on the unit 2-sphere $S^2 (1)$ in $\mathbb{R}^3$ and the unit 3-sphere $S^3 (1)$ in $\mathbb{R}^4$. 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
MSC numbers: 53A04
2015; 52(2): 377-394
2013; 50(4): 1109-1126
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