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

Emad Solouma | Zendy; Ibrahim Al-Dayel | Zendy

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Harmonic Evolute Surface of Tubular Surfaces via

B

-Darboux Frame in Euclidean 3-Space

Author(s) -

Emad Solouma,

Ibrahim Al-Dayel

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/5269655

Subject(s) - surface (topology) , harmonic map , mathematics , euclidean geometry , frame (networking) , euclidean space , harmonic , space (punctuation) , minimal surface , geometry , pure mathematics , computer science , physics , quantum mechanics , telecommunications , operating system

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 E 3 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.

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