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Structure Functions of Pseudo Null Curves in Minkowski 3-Space

Author

Listed:
  • Jinhua Qian

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

  • Jie Liu

    (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, the embankment surfaces with pseudo null base curves are investigated in Minkowski 3-space. The representation formula of pseudo null curves is obtained via the defined structure functions and the k-type pseudo null helices are discussed completely. Based on the theories of pseudo null curves, a class of embankment surfaces are constructed and characterized by the structure functions of the pseudo null base curves.

Suggested Citation

  • Jinhua Qian & Jie Liu & Xueqian Tian & Young Ho Kim, 2020. "Structure Functions of Pseudo Null Curves in Minkowski 3-Space," Mathematics, MDPI, vol. 8(1), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:75-:d:304738
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