The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame

Abstract

Abstract In this paper, we have a tendency to investigate a particular Weingarten and linear Weingarten varieties of canal surfaces according to Bishop frame in Euclidean 3-space E 3 satisfying some fascinating and necessary equations in terms of the Gaussian curvature, the mean curvature, and therefore the second Gaussian curvature. On the premise of those equations, some canal surfaces are introduced.

Keywords

• Canal surfaces
• Weingarten surfaces
• Bishop frame
• Gaussian curvature
• Second Gaussian curvature