Sweeping surface due to rotation minimizing Darboux frame in Euclidean 3-space $\mathbb {E}^{3} $

Sweeping surface due to rotation minimizing Darboux frame in Euclidean 3-space $\mathbb {E}^{3} $

MT Aldossary, RA Abdel-Baky – AIMS Mathematics, 2023

In this paper, we address a new version of Darboux frame using a common tangent vector field to a surface along a curve and call this frame the rotation minimizing Darboux frame (RMDF). Then, we give the parametric equation due to the RMDF