Harmonic Evolute Surface of Tubular Surfaces via B-Darboux Frame in Euclidean 3-Space
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...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
Hindawi Limited
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/e3f03c9a5ec74cf589ee8c926494780c |
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| Summary: | 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. |
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