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Some Characterizations of Generalized Null Scrolls

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 family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed. The Gaussian curvature, mean curvature, second Gaussian curvature and the second mean curvature are given and related to each other. Last but not least, the generalized null scrolls whose base curves are k-type null helices are discussed and several examples are presented.

Suggested Citation

  • Jinhua Qian & Xueshan Fu & Seoung Dal Jung, 2019. "Some Characterizations of Generalized Null Scrolls," Mathematics, MDPI, vol. 7(10), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:931-:d:274711
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