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Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space

Author

Listed:
  • Jinhua Qian

    (Department of Mathematics, Northeastern University, Shenyang 110004, China)

  • Pei Yin

    (Department of Mathematics, Northeastern University, Shenyang 110004, China)

  • Xueshan Fu

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

  • Hongzeng Wang

    (Department of Mathematics, Northeastern University, Shenyang 110004, China)

Abstract

In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C 3 . The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is achieved. Meanwhile, the rectifying isotropic curves are expressed by the Bessel functions explicitly. Last but not least, the centrodes of rectifying isotropic curves are explored in detail.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1451-:d:578883
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    References listed on IDEAS

    as
    1. Yongqiao Wang & Donghe Pei & Ruimei Gao, 2019. "Generic Properties of Framed Rectifying Curves," Mathematics, MDPI, vol. 7(1), pages 1-12, January.
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