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

E. M. Solouma and Ibrahim AL-Dayel

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

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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https://doi.org/10.1155/2021/5269655

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5269655

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