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Distinguishing characteristics of equiform Hasimoto surfaces in Minkowski 3-space
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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.
Title: Distinguishing characteristics of equiform Hasimoto surfaces in Minkowski 3-space
Description:
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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