Abstract:In this study, we examine the focal surfaces of tubular surfaces in Euclidean 3 space. We achieve some significant results for these surfaces in accordance with the modified orthogonal frame. Additionally, we propose a few geometric invariants that illustrate the geometric characteristics of these surfaces, such as flat, minimal, Weingarten, and linear-Weingarten surfaces, using the traditional methods of differential geometry. Additionally, these surfaces’ asymptotic and geodesic curves have been researched. … Show more
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