Sectional-Anosov flows in higher dimensions (1308.6597v1)

Published 29 Aug 2013 in math.DS

Abstract: A sectional-Anosov flow on a manifold M is a C¹ vector field inwardly transverse to the boundary for which the maximal invariant is sectional-hyperbolic. We prove that every attractor of every vector field C¹ 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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Authors (1)

A. M. López

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