Projective invariants of planar 2-webs
type: Item
instance of: scholarly article
title: Projective invariants of planar 2-webs
zbMATH Open document ID: 1404.53017
DOI: 10.3103/S1066369X18060099
author: I. S. Strel'tsova
published in: Russian Mathematics
publication date: 2018-10-16T00:00:00Z
review text: The author investigates planar linear 2-webs and their projective differential invariants. By studying a certain representation of the Lie algebra \(\mathfrak{sl}_3(\mathbb{R})\) by vector fields she obtains that such an invariant is generated by two invariants \(J_1\) and \(J_2\), of order 2 and 3, respectively, and their invariant derivations. Furthermore, the field of these invariants separates regular \(\mathrm{SL}_3(\mathbb{R})\)-orbits. This then allows the author to characterize when two regular linear 2-webs are equivalent under the group \(\mathrm{SL}_3(\mathbb{R})\).
reviewed by: Günter F. Steinke
Mathematics Subject Classification ID: 53A60
Mathematics Subject Classification ID: 53A55
zbMATH DE Number: 6955636
zbMATH Keywords: projective differential invariants
zbMATH Keywords: invariant derivations
MaRDI profile type: Publication
cites work: Differential invariants of circle foliations on the plane
cites work: Geodesic webs on a two-dimensional manifold and Euler equations
cites work: Global Lie-Tresse theorem
description: scientific article; zbMATH DE number 6955636