Results in Mathematics

, 59:437

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


DOI: 10.1007/s00025-011-0108-y

Cite this article as:
Liu, H. & Meng, Q. Results. Math. (2011) 59: 437. doi:10.1007/s00025-011-0108-y


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)



Lightlike conecone curverepresentation formulastructure functioncone curvaturecone torsionRiccati equation

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Department of MathematicsNortheastern UniversityShenyangPeople’s Republic of China