On invariants of curves in centro-affine geometry
type: Item
instance of: scholarly article
title: On invariants of curves in centro-affine geometry
zbMATH Open document ID: 1087.53014
author: Ömer Pekşen
author: Djavvat Khadjiev
published in: Journal of Mathematics of Kyoto University
publication date: 2006-03-09T00:00:00Z
review text: The paper deals with global \(n\)-dimensional centro-affine geometry of curves. Four global types of curves are defined using the limit of centro-affine arc length to the endpoints of the definition interval. The authors present a system of centro-affine curvature functions which is shown to be complete. In contrast to a paper of \textit{R. B. Gardner} and \textit{G. R. Wilkens} [Bull. Belg. Math. Soc. Simon Stevin 4, No. 3, 379--401 (1997; Zbl 0936.53010)], the authors give explicit formulae of curvatures in terms of the centro affine invariant parameter. Furthermore, an existence theorem is proved.
reviewed by: Friedrich Manhart
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 5010266
zbMATH Keywords: centro-affine curvature
zbMATH Keywords: centro-affine curves
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283086
OpenAlex ID: W1563550287
DOI: 10.1215/KJM/1250283086
description: scientific article; zbMATH DE number 5010266