Mathematics (Nov 2021)

Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space

  • Pengcheng Li,
  • Donghe Pei

DOI
https://doi.org/10.3390/math9222939
Journal volume & issue
Vol. 9, no. 22
p. 2939

Abstract

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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.

Keywords