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http://dx.doi.org/10.4134/BKMS.2015.52.3.963

SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3  

Qian, Jinhua (Department of Mathematics Northeastern University)
Kim, Young Ho (Department of Mathematics Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 963-975 More about this Journal
Abstract
In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.
Keywords
isotropic curve; isotropic Bertrand curve; k-type isotropic helix; pesudo curvature; structure function;
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