Regularization of Brouwer translation theorem
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Groisman, Jorge (Universidad de la República. Instituto de Matemática y Estadística Rafael Laguardia (Uruguay))
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2022
Abstract:	The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. In this work we prove that if we start with a Cm,m∈N∪{∞}, diffeomorphism then the referred conjugacy has the same kind of regularity.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 Agencia Estatal de Investigación CEX2020-001084-M Agencia Estatal de Investigación MTM2017-86795-C3-1-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Brouwer translation theorem ; Smooth conjugation ; Homeomorphism ; Diffeomorphism
Published in:	Qualitative theory of dynamical systems, Vol. 21, Issue 4 (December 2022) , art. 135, ISSN 1662-3592

DOI: 10.1007/s12346-022-00666-y

Postprint 10 p, 346.9 KB

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