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Integrability of dominated decompositions on three-dimensional manifolds

Published online by Cambridge University Press:  11 February 2016

STEFANO LUZZATTO ,
SİNA TÜRELİ  and
KHADIM WAR
STEFANO LUZZATTO
Affiliation:
Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Trieste, Italy email luzzatto@ictp.it, sinatureli@gmail.com, kwar@ictp.it
SİNA TÜRELİ
Affiliation:
Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Trieste, Italy email luzzatto@ictp.it, sinatureli@gmail.com, kwar@ictp.it International School for Advanced Studies (SISSA), Via Bonomea 265, Trieste, Italy
KHADIM WAR
Affiliation:
Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Trieste, Italy email luzzatto@ictp.it, sinatureli@gmail.com, kwar@ictp.it International School for Advanced Studies (SISSA), Via Bonomea 265, Trieste, Italy
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Abstract

We investigate the integrability of two-dimensional invariant distributions (tangent sub-bundles) which arise naturally in the context of dynamical systems on 3-manifolds. In particular, we prove unique integrability of dynamically dominated and volume-dominated Lipschitz continuous invariant decompositions as well as distributions with some other regularity conditions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 2 , April 2017 , pp. 606 - 620
Copyright
© Cambridge University Press, 2016 

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