An analysis of invariant curves
type: Item
instance of: scholarly article
title: An analysis of invariant curves
zbMATH Open document ID: 0677.53016
DOI: 10.1016/0167-8396(89)90028-9
published in: Computer Aided Geometric Design
publication date: 1989-01-01T00:00:00Z
review text: The author uses the Lie derivative (without mentioning its name) to find the partial differential equation of representations of curves covariant in a given group of transformations and applies his result to plane euclidean geometry. [The work could be simplified considerably using known work of Lie and Tresse, part of which is exposed in the reviewer's book [Differential Geometry (1963; Zbl 0116.134)].]
Mathematics Subject Classification ID: 53A55
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 4109520
zbMATH Keywords: Lie derivative
zbMATH Keywords: curves
author: H. E. Bez
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(89)90028-9
OpenAlex ID: W1988945878
cites work: On invariant curve forms
cites work: Q4776831
cites work: Q3241389
description: scientific article; zbMATH DE number 4109520