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

Article

Abstract

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 

Keywords

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

References

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    Liu, H.: Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space. J. Geom. Phys. (2009, NEU preprint, submitted)Google Scholar

Copyright information

© Springer Basel AG 2011

Authors and Affiliations

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

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