Tubular surfaces associated with framed base curves in Euclidean 3‐space

The aim of this paper is to examine tubular surfaces with framed base curves. We build the structure of the tubular surface which has singular points. In the second section, we give a brief exposition of framed base curves and framed surfaces, respectively. In the third section, our main results are stated and proved. Moreover, in this section, the normal of the tubular surface and its mean and Gauss curvatures are found, and the characterizations of the parameter curves on the surface are given. Finally, we have expressed the tubular surface with a framed base curve with examples.