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arXiv · 1103.5637

Dominated Splittings for Flows with singularities

Vitor Araujo·Alexander Arbieto·Luciana Salgado
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Abstract

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.

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Vitor Araujo, Alexander Arbieto, Luciana Salgado. 2013-07-01. Dominated Splittings for Flows with singularities. https://doi.org/10.1088/0951-77152682391

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