Geodesic
Non equivalence of NMS flows on $S^{3}$
Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 165-173

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MR Zbl
We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.
We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.
DOI : 10.21136/MB.2012.142862
Classification : 37D15, 57M25
Keywords: non singular Morse-Smale flows; round handle decomposition; link 
Campos, B.; Vindel, P. Non equivalence of NMS flows on $S^{3}$. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 165-173. doi: 10.21136/MB.2012.142862
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