Title

Spacelike Curves in the Lightlike Cone

Abstract

In this paper, we study curves in the lightlike cone. First, we show that any curves in the lightlike cone are spacelike or lightlike, and then we characterize some curves with special cone curvature function in the 4, 5, and 6-dimensional lightlike cone. Finally, we consider the relationship between Frenet curvature functions and cone curvature functions for a spacelike curve on the lightlike cone.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic frame; Cone curvature; Lightlike cone; Spacelike curve

International Standard Serial Number (ISSN)

1935-0090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Natural Sciences Publishing, All rights reserved.

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