ملخص البحث
In this work, we prove that the ratio of torsion and curvature of any dual rectifying curve is
a non-constant linear function of its dual arc length parameter. Thereafter, a dual dierential equation
of third order is constructed for every dual curve. Then, several well-known characterizations of dual
spherical, normal and rectifying curves are consequences of this dierential equation. Finally, we
prove a simple new characterization of dual spherical curves in terms of the Darboux vector.
تاريخ البحث
قسم البحث
مجلة البحث
AIMS Mathematics
المشارك في البحث
الناشر
AIMS Mathematics
تصنيف البحث
Q2
عدد البحث
Vol. 6, No. 4
موقع البحث
http://www.aimspress.com/journal/Math
سنة البحث
2021
صفحات البحث
3339- 3351