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Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps

Author

Listed:
  • Jinhua Qian

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

  • Xueshan Fu

    (Department of Mathematics, Jeju National University, Jeju 690-756, Korea)

  • Seoung Dal Jung

    (Department of Mathematics, Jeju National University, Jeju 690-756, Korea)

Abstract

In this work, a pair of dual associate null scrolls are defined from the Cartan Frenet frame of a null curve in Minkowski 3-space. The fundamental geometric properties of the dual associate null scrolls are investigated and they are related in terms of their Gauss maps, especially the generalized 1-type Gauss maps. At the same time, some representative examples are given and their graphs are plotted by the aid of a software programme.

Suggested Citation

  • Jinhua Qian & Xueshan Fu & Seoung Dal Jung, 2020. "Dual Associate Null Scrolls with Generalized 1-Type Gauss Maps," Mathematics, MDPI, vol. 8(7), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1111-:d:380866
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