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arXiv · 1407.6401

Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$

Ketty A. de Rezende·Guido G. E. Ledesma·Oziride M. Neto
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Abstract

In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$. This classification gives necessary and sufficient conditions that must be satisfied by an abstract Lyapunov graph in order for it to be associated to a Smale flow on $\mathbb{S}^2\times\mathbb{S}^1$.

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Ketty A. de Rezende, Guido G. E. Ledesma, Oziride M. Neto. 2014-12-22. Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$. https://doi.org/10.1017/etds.2015.2

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