Space curves of constant breadth in Minkowski 3-space |
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Authors: | Hüseyin Kocayi?it Mehmet Önder |
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Institution: | 1. Faculty of Science and Arts, Department of Mathematics, Celal Bayar University, 45047, Muradiye, Manisa, Turkey
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Abstract: | In this paper, we study spacelike and timelike curves of constant breadth in Minkowski 3-space. We show that in Minkowski 3-space spacelike and timelike curves of constant breadth are normal, helices, and spherical curves in some special cases. Furthermore, we give that the total torsion of a closed spacelike curve of constant breadth is zero while the total torsion of a simple closed timelike curve is equal to ${2\pi n, (n \in Z)}$ . |
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