Curves in the lightlike cone
type: Item
instance of: scholarly article
title: Curves in the lightlike cone
zbMATH Open document ID: 1063.53001
published in: Beiträge zur Algebra und Geometrie
publication date: 2004-09-01T00:00:00Z
full work available at URL: https://eudml.org/doc/226455
full work available at URL: 25.html
review text: The author studies curves in the light-like cone in the Minkowski space of arbitrary dimension. Having fixed the coordinate system, the author obtains several conformal invariants of such curves. In a specialization to the 2-dimensional and 3-dimensional case some results are also obtained, e.g., the author characterizes the Bertrand curves in \(Q^{2}\) and finds a ``normal form'' of some of suche curves in \(Q^{3}\).
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 2096249
zbMATH Keywords: hyperbolic metrics
zbMATH Keywords: light-like cone
zbMATH Keywords: conformal invariant
zbMATH Keywords: Frenet formula
zbMATH Keywords: curvature function
author: Huili Liu
reviewed by: V. O. Manturov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2096249