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Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space

Author

Listed:
  • Pengcheng Li

    (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China)

  • Donghe Pei

    (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China)

Abstract

The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by using framed curvatures of spacelike framed curves. Finally, we exhibit some examples to illustrate our results.

Suggested Citation

  • Pengcheng Li & Donghe Pei, 2021. "Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space," Mathematics, MDPI, vol. 9(22), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2939-:d:681873
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