Abstract

LOPEZ, ANDRÉS MAURICIO. Sectional-Anosov Flows in Higher Dimensions. Rev.colomb.mat. [online]. 2015, vol.49, n.1, pp.39-55. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v49n1.54162.

A sectional-Anosov flow on a manifold is a C¹ vector field inwardly transverse to the boundary for which the maximal invariant is sectional hyperbolic [10]. 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 [9].

Keywords : Transitive; Maximal invariant; Sectional-Anosov flow.

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