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.

Preface to: Differential Geometry: Structures on Manifolds and Their Applications

“…One can distinguish several topics that have been investigated in the papers of this Special Issue. In addition to the proposed keywords we have already presented in the beginning, we also have some specific ones that appeared in the papers [1][2][3][4][5][6][7][8][9][10][11] that we emphasize in Table 2.…”

Pedal Curves of the Mixed-Type Curves in the Lorentz-Minkowski Plane

“…Scholars have shown interest in curves in Lorentz space and its subspace and have studied evolutes, involutes, parallels and some other associated curves in these spaces. There have been several relevant investigations in this area (see [3][4][5][6][7][12][13][14][15]). Having the appearance of a negative index, there are three types of vectors in Lorentz space.…”