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Distinguishing characteristics of equiform Hasimoto surfaces in Minkowski 3-space

Article scientifique 2022 Anglais

Résumé

Abstract We investigate the equiform Hasimoto surfaces P(σ, ℓ) in Minkowski 3-space in this paper. In E 3 1 , in different three cases, the geometric properties of equiform Hasimoto surfaces are discussed. For each case, the equiform Gaussian and mean curvatures of the equiform Hasimoto surface are determined. Then, in E 3 1 , we characterize the parameter equiform Bishop curves of equiform Hasimoto surfaces. Keywords— Hasimoto surface, Minkowski geometry, equiform Bishop frame, smoke ring equation.

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Mahmoud, W., ElHafez, S., Solouma, E., Soliman, M. (2022). Distinguishing characteristics of equiform Hasimoto surfaces in Minkowski 3-space. https://doi.org/10.21203/rs.3.rs-2203628/v1

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Auteur(s)

W. M. Mahmoud S. M. Abd ElHafez E. M. Solouma M. A. Soliman

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