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Straighten out coordinates for volume-preserving actions

  • Mário BessaEmail author
  • Pedro Morais
Article
  • 17 Downloads

Abstract

In this short note we obtain a canonical form for commuting divergence-free vector fields.

Keywords

Divergence-free \({\mathbb {R}}^n\) actions Foliations Flowbox coordinates 

Mathematics Subject Classification

Primary 37C10 34A26 Secondary 57R30 34C20 

Notes

Acknowledgements

The authors would like to thank the anonymous referee for the careful reading of the manuscript and for giving helpful comments and suggestions. The authors were partially supported by FCT - ‘Fundação para a Ciência e a Tecnologia’, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, project UID/MAT/00212/2019. MB was partially supported by the Project ‘New trends in Lyapunov exponents’ (PTDC/MAT-PUR/29126/2017). MB would also like to thank CMUP for providing the necessary conditions in which this work was developed.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.CMA-UBI, Departamento de Matemática da Universidade da Beira InteriorCovilhãPortugal

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