On Pseudo Null Bertrand Curves in Minkowski Space-time
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In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1; k2(s) ≠ 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1, 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1, 3)-Bertrand curves in Minkowski spacetime.
Abstract
In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1; k2(s) ≠ 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1, 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1, 3)-Bertrand curves in Minkowski spacetime.
참고문헌 (18)
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