Results in Mathematics

, Volume 59, Issue 3, pp 437-451

First online:

Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone

  • Huili LiuAffiliated withDepartment of Mathematics, Northeastern University Email author 
  • , Qingxian MengAffiliated withDepartment of Mathematics, Northeastern University

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In this paper we give the representation formulas for spacelike curves in two-dimensional lightlike cone \({{\mathbb Q}^2}\) and three-dimensional lightlike cone \({{\mathbb Q}^3}\). Using these formulas we discuss the properties and structures of cone curves in \({{\mathbb Q}^2}\) and \({{\mathbb Q}^3}\). Some examples are also given.

Mathematics Subject Classification (2010)

53A04 53B30 53C21


Lightlike cone cone curve representation formula structure function cone curvature cone torsion Riccati equation