Mannheim B-curve couples in Minkowski 3-space
In this paper, we define null Cartan and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Mannheim B-curves, by considering the cases when their Mannheim B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Mannheim B-curve pairs.
2020 ◽
Vol 5
(1)
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pp. 237-248
2016 ◽
Vol 13
(06)
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pp. 1650077
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1986 ◽
Vol 23
(04)
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pp. 851-858
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1991 ◽
Vol 11
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pp. 65-71
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