Lyapunov graphs of nonsingular Smale flows on $S^{1}\times S^{2}$

Bin Yu

Lyapunov graphs of nonsingular Smale flows on $S^{1}\times S^{2}$

Dynamical Systems 2011-03-14 v1 Geometric Topology

Authors: Bin Yu

Abstract

In this paper, following J. Franks' work on Lyapunov graphs of nonsingular Smale flows on $S^3$ , we study Lyapunov graphs of nonsingular Smale flows on $S^1 \times S^2$ . More precisely, we determine necessary and sufficient conditions on an abstract Lyapunov graph to be associated with a nonsingular Smale flow on $S^1 \times S^2$ . We also study the singular type vertices in Lyapunov graphs of nonsingular Smale flows on 3-manifolds.

Keywords

Lyapunov graphs nonsingular Smale flows S^1 x S^2 3-manifolds singular vertices necessary and sufficient conditions

Cite

@article{arxiv.1103.2183,
  title  = {Lyapunov graphs of nonsingular Smale flows on $S^{1}\times S^{2}$},
  author = {Bin Yu},
  journal= {arXiv preprint arXiv:1103.2183},
  year   = {2011}
}

Comments

17 pages, 6 figures

Lyapunov graphs of nonsingular Smale flows on $S^{1}\times S^{2}$

Abstract

Keywords

Cite

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