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Singular Special Curves in 3-Space Forms

Author

Listed:
  • Jie Huang

    (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China)

  • Donghe Pei

    (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China)

Abstract

We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves.

Suggested Citation

  • Jie Huang & Donghe Pei, 2020. "Singular Special Curves in 3-Space Forms," Mathematics, MDPI, vol. 8(5), pages 1-8, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:846-:d:362022
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    References listed on IDEAS

    as
    1. Wenjing Zhao & Donghe Pei & Xinyu Cao, 2015. "Mannheim Curves in Nonflat 3-Dimensional Space Forms," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-9, April.
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    Cited by:

    1. 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.

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