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Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms

Author

Listed:
  • Jinhua Qian

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

  • Xueqian Tian

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

  • Young Ho Kim

    (Department of Mathematics, Kyungpook National University, Daegu 41566, Korea)

Abstract

In this work, a kind of normal partner curves of a pseudo null curve on dual space forms is defined and studied. The Frenet frames and curvatures of a pseudo null curve and its associate normal curve on de-Sitter space, its associate normal curve on hyperbolic space, are related by some particular function and the angles between their tangent vector fields, respectively. Meanwhile, the relationships between the normal partner curves of a pseudo null curve are revealed. Last but not least, some examples are given and their graphs are plotted by the aid of a software programme.

Suggested Citation

  • Jinhua Qian & Xueqian Tian & Young Ho Kim, 2020. "Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:919-:d:367688
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