Involutes of Pseudo-Null Curves in Lorentz–Minkowski 3-Space

نویسندگان

چکیده

In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null are spacelike with null principal normals, and their can be defined analogously as for the Euclidean curves, but they exhibit properties that cannot occur space. The first result paper is more precisely, straight lines. Furthermore, a method reconstruction curve from given line its involute provided. Such process plane generates an evolute curve, however it applied to line. case presented, additionally affected by choice different frames every allows (in case, line). Nevertheless, proved frames, obtained congruent. Examples verify presented results also given.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9111256