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arXiv:1103.5637 [math.DS]AbstractReferencesReviewsResources

Dominated Splittings for Flows with singularities

Vitor Araujo, Alexander Arbieto, Luciana Salgado

Published 2011-03-29, updated 2013-07-01Version 8

We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a $C^1$ flow $X_t$ to be dominated. In particular, we reduce the requirements to obtain sectional hyperbolicity and hyperbolicity.

Comments: 15 pages, 4 figures; streamlined presentation; statement and proof of main theorem corrected; included new application to obtain hyperbolicity for three-dimensional flows; some corrections suggested by the referee
Journal: Nonlinearity 26 (2013) 2391-2407
Categories: math.DS, math.CA
Subjects: 37D30, 37D25
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