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2026-01-19 02:52 UTC · math.DG · math.DG

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

Kaixin Yao

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.
arXiv abstractPDF

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