paper

Non-parabolic Spatial Hybrid Framed Curves and Their Applications in the Spatial Hybrid Number Space

arXiv:2601.12679

Abstract

In this paper, we define non-parabolic spatial hybrid framed curves in the spatial hybrid number space, which may have singularities, and prove the existence and uniqueness theorem for non-parabolic spatial hybrid framed curves. As applications, we define evolutes, involutes, pedal and contrapedal curves of non-parabolic spatial hybrid framed curves and discuss their relations.

14 pages, 2 figures