Geometry of Hasimoto Surfaces in Minkowski 3-Space |
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| Authors: | Melek Erdoğdu Mustafa Özdemir |
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| Institution: | 1. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Konya, Turkey
2. Department of Mathematics, Akdeniz University, Antalya, Turkey
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| Abstract: | In this paper, we investigate the Hasimoto surfaces in Minkowski 3-space. We discussed the geometric properties of Hasimoto surfaces in \(\mathbb {M}^{3}\) for three cases. The Gaussian and mean curvature of Hasimoto surface are found for each case. Then, we give the characterization of parameter curves of Hasimoto surfaces in \(\mathbb {M}^{3}.\) |
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