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arXiv · 1407.3471

Existence of periodic orbits for sectional Anosov flows

A. M. López
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Abstract

We prove that every sectional Anosov flow (or, equivalently, every sectional-hyperbolic attracting set of a flow) on a compact manifold has a periodic orbit. This extends the previous three-dimensional result obtained in [Existence of periodic orbits for singular-hyperbolic sets].

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A. M. López. 2014-07-13. Existence of periodic orbits for sectional Anosov flows. https://arxiv.org/abs/1407.3471

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