SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3

Title & Authors
SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3
Qian, Jinhua; Kim, Young Ho;

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 $\small{\mathbb{C}^3}$.
Keywords
isotropic curve;isotropic Bertrand curve;k-type isotropic helix;pesudo curvature;structure function;
Language
English
Cited by
1.
Contributions to differential geometry of isotropic curves in the complex space C3 – II, Journal of Mathematical Analysis and Applications, 2016, 440, 2, 561
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