Cyclic stabilisators for the coadjoint representation of the group of diffeomorphisms of the circle
type: Item
instance of: scholarly article
title: Cyclic stabilisators for the coadjoint representation of the group of diffeomorphisms of the circle
zbMATH Open document ID: 0948.22018
DOI: 10.1016/S0007-4497(00)00127-5
author: Laurent Guieu
published in: Bulletin des Sciences Mathématiques
publication date: 2000-06-06T00:00:00Z
review text: The author studies the regular coadjoint orbits of the group \(\text{Diff}^+(S^1)\) of the diffeomorphisms of the circle that are isotopic to the identity. It is shown that the stabilizer of the quadratic differential \(u(x)(\text{d} u)^2\) is cyclic if and only if the set of zeros of the function \(u\) is nonempty and its interior is empty. A sufficient condition for the triviality of this stabilizer is also given.
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 1436206
zbMATH Keywords: diffeomorphism
zbMATH Keywords: circle
zbMATH Keywords: stabilizer
zbMATH Keywords: coadjoint orbit
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1436206