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Inextensible Flows of Curves on Lightlike Surfaces

Author

Listed:
  • Zühal Küçükarslan Yüzbaşı

    (Department of Mathematics, Fırat University, Elazig 23119, Turkey)

  • Dae Won Yoon

    (Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea)

Abstract

In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the curve on a lightlike surface. Finally, we classify lightlike ruled surfaces in Minkowski three-space and characterize an inextensible evolution of a lightlike curve on a lightlike tangent developable surface.

Suggested Citation

  • Zühal Küçükarslan Yüzbaşı & Dae Won Yoon, 2018. "Inextensible Flows of Curves on Lightlike Surfaces," Mathematics, MDPI, vol. 6(11), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:224-:d:178933
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    References listed on IDEAS

    as
    1. Rawya A. Hussien & Samah G. Mohamed, 2016. "Generated Surfaces via Inextensible Flows of Curves in," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-8, June.
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