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arXiv · 1308.6597

Sectional-Anosov flows in higher dimensions

A. M. López
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Abstract

A sectional-Anosov flow on a manifold M is a C^1 vector field inwardly transverse to the boundary for which the maximal invariant is sectional-hyperbolic. We prove that every attractor of every vector field C^1 close to a transitive sectional-Anosov flow with singularities on a compact manifold has a singularity. This extends the three-dimensional result obtained in [Morales, C.A., The explosion of singular-hyperbolic attractors].

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A. M. López. 2013-08-29. Sectional-Anosov flows in higher dimensions. https://arxiv.org/abs/1308.6597

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