Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 45, No. 1, pp. 291-303 (2004)

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Curves in the lightlike cone

Huili Liu

Department of Mathematics, Northeastern University, 110004 Shenyang P. R. China, e-mail: liuhl@mail.neu.edu.cn, liu@math.tu-berlin.de

Abstract: In this paper, we study curves in the lightlike cone. We first obtain the conformally invariant arc length in the $(n+1)$-dimensional lightlike cone and then characterize some curves in the 2-dimensional lightlike cone and 3-dimensional lightlike cone.

Keywords: lightlike cone, conformal invariant, Frenet formula, curvature function

Classification (MSC2000): 53A04, 53A30, 53B30

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Electronic version published on: 5 Mar 2004. This page was last modified: 4 May 2006.

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