Linearization of planar involutions in C1

A. Cima; A. Gasull; F. Mañosas; R. Ortega

doi:https://doi.org/10.1007/s10231-014-0423-5

Linearization of planar involutions in C¹

A. Cima, A. Gasull, F. Mañosas, R. Ortega

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

© 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. The celebrated Kerékjártó Theorem asserts that planar continuous periodic maps can be continuously linearized. We prove that C1-planar involutions can be C1-linearized.

Original language	English
Pages (from-to)	1349-1357
Journal	Annali di Matematica Pura ed Applicata
Volume	194
Issue number	5
DOIs	https://doi.org/10.1007/s10231-014-0423-5
Publication status	Published - 17 Oct 2015

Keywords

Involution
Kerékjártó theorem
Linearization
Periodic maps

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title = "Linearization of planar involutions in C1",

abstract = "{\textcopyright} 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. The celebrated Ker{\'e}kj{\'a}rt{\'o} Theorem asserts that planar continuous periodic maps can be continuously linearized. We prove that C1-planar involutions can be C1-linearized.",

keywords = "Involution, Ker{\'e}kj{\'a}rt{\'o} theorem, Linearization, Periodic maps",

author = "A. Cima and A. Gasull and F. Ma{\~n}osas and R. Ortega",

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T1 - Linearization of planar involutions in C1

AU - Cima, A.

AU - Gasull, A.

AU - Mañosas, F.

AU - Ortega, R.

PY - 2015/10/17

Y1 - 2015/10/17

N2 - © 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. The celebrated Kerékjártó Theorem asserts that planar continuous periodic maps can be continuously linearized. We prove that C1-planar involutions can be C1-linearized.

AB - © 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg. The celebrated Kerékjártó Theorem asserts that planar continuous periodic maps can be continuously linearized. We prove that C1-planar involutions can be C1-linearized.

KW - Involution

KW - Kerékjártó theorem

KW - Linearization

KW - Periodic maps

UR - https://ddd.uab.cat/record/145342

U2 - https://doi.org/10.1007/s10231-014-0423-5

DO - https://doi.org/10.1007/s10231-014-0423-5

M3 - Article

VL - 194

SP - 1349

EP - 1357

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ER -