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Singularities of Non-Developable Surfaces in Three-Dimensional Euclidean Space

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 singularity on principal normal and binormal surfaces generated by smooth curves with singular points in the Euclidean 3-space. We discover the existence of singular points on such binormal surfaces and study these singularities by the method of singularity theory. By using structure functions, we can characterize the ruled surface generated by special curves.

Suggested Citation

  • Jie Huang & Donghe Pei, 2019. "Singularities of Non-Developable Surfaces in Three-Dimensional Euclidean Space," Mathematics, MDPI, vol. 7(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1106-:d:287048
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    References listed on IDEAS

    as
    1. Liu, Huili & Liu, Yixuan & Jung, Seoung Dal, 2019. "Ruled invariants and associated ruled surfaces of a space curve," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 479-486.
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