Bertrand lightcone framed curves in Lorentz-Minkowski 3-space

Authors

  • Nozomi Nakatsuyama
  • Masatomo Takahashi

DOI:

https://doi.org/10.1285/i15900932v46n1p41-62

Keywords:

Bertrand lightcone framed curve, lightcone framed curve, mixed type, singularity

Abstract

We investigate mixed types of not only regular curves but also curves with singular points in Lorentz-Minkowski 3-space. In order to consider mixed type of curves with singular points, we consider the lightcone frame and lightcone framed curves. Using lightcone frame, we can investigate Bertrand types for lightcone framed curves, so-called Bertrand lightcone framed curves. We clarify that the existence conditions of Bertrand lightcone framed curves in all cases. As a consequence, we find psedo-circular involutes and evolutes of mixed type curves which appear as Bertrand lightcone framed curves.

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Published

24-07-2026

Issue

Volume 46, issue 1 (2026)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode