, Volume 59, Issue 3-4, pp 437-451
Date: 02 Apr 2011

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

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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.

Supported by NSFC (No. 11071032), Chern Institute of Mathematics and NEU.
Dedicated to Professor Heinrich Wefelscheid on the occasion of his 70th birthday
An erratum to this article can be found at http://dx.doi.org/10.1007/s00025-012-0257-7