Introducing Weingarten cyclic surfaces in R3

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

“…Identification of the curvatures associated with the second elementary variety of a surface opened a door to the analysis of the new categories of Weingarten surfaces. Since the center of the last century, many geometers have studied Weingarten surfaces and linear Weingarten surfaces and obtained several attention-grabbing and valuable results [11][12][13].…”