Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame

M. Bekar; F.  Hathout; Y.  Yayli

doi:10.37863/umzh.v73i5.895

M. Bekar Gazi Univ., Ankara, Turkey https://orcid.org/0000-0003-3617-6940
F. Hathout Saida Univ., Algeria
Y. Yayli Ankara Univ., Turkey

DOI: https://doi.org/10.37863/umzh.v73i5.895

Ключові слова: Tangent bundle of sphere, Rotation minimizing vector field, Legendre curve, Ruled surface, Singularity

Анотація

УДК 514.7

Кривi Лежандра та сингулярностi лiнiйчатих поверхонь, якi отримано за допомогою репера
з мiнiмальним обертанням

У цiй роботi кривi Лежандра в одиничному дотичному жмутку наведено за допомогою векторних полiв з мiнiмальним обертанням. Описано лiнiйчатi поверхнi, що вiдповiдають цим кривим. Також проаналiзовано та класифiковано сингулярностi таких поверхонь.

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