Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space

E. M. Solouma, Ibrahim AL-Dayel and Manuel De Le n

Advances in Mathematical Physics, 2021, vol. 2021, 1-7

Abstract: In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame (B-Darboux frame) in Euclidean 3-space E3 to study and explain the geometric characteristics of the harmonic evolute surfaces of tubular surfaces. The characterizations of the harmonic evolute surface’s ϱ and ς parameter curves are evaluated, and then, they are compared. Finally, an example of a tubular surface’s harmonic evolute surface is presented, along with visuals of these surfaces.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5269655

DOI: 10.1155/2021/5269655

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