Some examples of nonsingular Morse-Smale vector fields on S 3
Wilson Jr, F. Wesley
Annales de l'Institut Fourier, Tome 27 (1977), p. 145-159 / Harvested from Numdam
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On examine la possibilité de déterminer la classe d’homotopie d’un champ de vecteurs en considérant des invariants algébriques relatifs à sa propriété qualitative. Les invariants algébriques associés avec certains exemples de champs de vecteurs non singuliers de Morse-Smale sur la 3-sphère sont étudiés ici. Pour ces exemples, les invariants algébriques usuels associés aux solutions périodiques ne peuvent pas être utilisés pour prédire la classe d’homotopie du champ de vecteurs.

One wonders or not whether it is possible to determine the homotopy class of a vector field by examining some algebraic invariants associated with its qualitative behavior. In this paper, we investigate the algebraic invariants which are usually associated with the periodic solutions of non-singular Morse-Smale vector fields on the 3-sphere. We exhibit some examples for which there appears to be no correlation between the algebraic invariants of the periodic solutions and the homotopy classes of the vector fields.

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     author = {Wilson Jr, F. Wesley},
     title = {Some examples of nonsingular Morse-Smale vector fields on $S^3$},
     journal = {Annales de l'Institut Fourier},
     volume = {27},
     year = {1977},
     pages = {145-159},
     doi = {10.5802/aif.654},
     mrnumber = {58 \#13072},
     zbl = {0357.57002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1977__27_2_145_0}
}

Wilson Jr, F. Wesley. Some examples of nonsingular Morse-Smale vector fields on $S^3$. Annales de l'Institut Fourier, Tome 27 (1977) pp. 145-159. doi : 10.5802/aif.654. http://gdmltest.u-ga.fr/item/AIF_1977__27_2_145_0/

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