Smooth actions of $Aff^+ (\mathbb R)$ on compact surfaces with no fixed point: an elementary construction

Any compact surface supports a continuous action of the orientation preserving affine group of the real line which is fixed point free (Lima and Plante). It is generally admitted that this action can be taken smooth although it is not easy finding references for it. Here one gives a such action.

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Bibliographic Details
Main Author Turiel, Francisco-Javier
Format Journal Article
LanguageEnglish
Published 18.02.2016
Subjects
Mathematics - Dynamical Systems
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Summary:Any compact surface supports a continuous action of the orientation preserving affine group of the real line which is fixed point free (Lima and Plante). It is generally admitted that this action can be taken smooth although it is not easy finding references for it. Here one gives a such action.
DOI:10.48550/arxiv.1602.05736