Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space

Abstract

In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C3. The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is achieved. Meanwhile, the rectifying isotropic curves are expressed by the Bessel functions explicitly. Last but not least, the centrodes of rectifying isotropic curves are explored in detail.

Keywords

• complex space
• isotropic curve
• rectifying curve
• structure function