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

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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)

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.

Suggested Citation

  • Jianguo Sun & Yanping Zhao, 2021. "The Geometrical Characterizations of the Bertrand Curves of the Null Curves in Semi-Euclidean 4-Space," Mathematics, MDPI, vol. 9(24), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3294-:d:705423
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    References listed on IDEAS

    as
    1. Jie Huang & Donghe Pei, 2020. "Singular Special Curves in 3-Space Forms," Mathematics, MDPI, vol. 8(5), pages 1-8, May.
    2. Jianguo Sun & Xiaoyan Jiang & Fenghui Ji, 2021. "Geometrical Properties of the Pseudonull Hypersurfaces in Semi-Euclidean 4-Space," Mathematics, MDPI, vol. 9(11), pages 1-9, June.
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