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Generic Properties of Framed Rectifying Curves

Author

Listed:
  • Yongqiao Wang

    (School of Science, Dalian Maritime University, Dalian 116026, China)

  • Donghe Pei

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

  • Ruimei Gao

    (Department of Science, Changchun University of Science and Technology, Changchun 130022, China)

Abstract

The position vectors of regular rectifying curves always lie in their rectifying planes. These curves were well investigated by B.Y.Chen. In this paper, the concept of framed rectifying curves is introduced, which may have singular points. We investigate the properties of framed rectifying curves and give a method for constructing framed rectifying curves. In addition, we reveal the relationships between framed rectifying curves and some special curves.

Suggested Citation

  • Yongqiao Wang & Donghe Pei & Ruimei Gao, 2019. "Generic Properties of Framed Rectifying Curves," Mathematics, MDPI, vol. 7(1), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:37-:d:194570
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    Citations

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    Cited by:

    1. Jinhua Qian & Pei Yin & Xueshan Fu & Hongzeng Wang, 2021. "Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space," Mathematics, MDPI, vol. 9(12), pages 1-12, June.
    2. Yanlin Li & Mahmut Mak, 2023. "Framed Natural Mates of Framed Curves in Euclidean 3-Space," Mathematics, MDPI, vol. 11(16), pages 1-14, August.

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