Reversibility in the diffeomorphism group of the real line

An element of a group is said to be reversible if it is conjugate to its inverse. We characterise the reversible elements in the group of diffeomorphisms of the real line, and in the subgroup of order preserving diffeomorphisms.

Detalles Bibliográficos
Autores: O'Farrell, Anthony G., Short, Ian
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49672
Acceso en línea:https://ddd.uab.cat/record/49672
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53209_05
Access Level:acceso abierto
Palabra clave:Diffeomorphism
Reversible
Involution
Conjugacy
Descripción
Sumario:An element of a group is said to be reversible if it is conjugate to its inverse. We characterise the reversible elements in the group of diffeomorphisms of the real line, and in the subgroup of order preserving diffeomorphisms.