The Geometrical Characterizations of the Bertrand Curves of the Null Curves in Semi-Euclidean 4-Space

Jianguo Sun and Yanping Zhao
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Jianguo Sun: School of Science, China University of Petroleum (East China), Qingdao 266580, China
Yanping Zhao: School of Science, China University of Petroleum (East China), Qingdao 266580, China

Mathematics, 2021, vol. 9, issue 24, 1-13

Abstract: According to the Frenet equations of the null curves in semi-Euclidean 4-space, the existence conditions and the geometrical characterizations of the Bertrand curves of the null curves are given in this paper. The examples and the graphs of the Bertrand pairs with two different conditions are also given in order to supplement the conclusion of this paper more intuitively.

Keywords: Frenet equations; null curves; Bertrand curves; semi-Euclidean space; curvatures (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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