Étude des Γ-structures de codimension 1 sur la sphère S 2
Annales de l'Institut Fourier, Volume 23 (1973) no. 4, p. 213-227
This article contains a simple geometric demonstration of π 2 (BΓ 1 r )=0 for r=0,.This result (which was also proved by Mather as a corollary of a far more general theorem) uses Michael Herman’s theorem: Diff S 1 [ Diff S 1 , Diff S 1 ]=0.The reader will find in the appendix a study of Γ-structures on surfaces and a result about the cohomology group of Diff S 1 .
Cet article contient une démonstration géométrique simple de π 2 (BΓ 1 r )=0 pour r=0,.Ce résultat (démontré aussi par Mather comme corollaire d’un théorème beaucoup plus général) apparaît comme une conséquence du théorème de Michael Herman : Diff S 1 [ Diff S 1 , Diff S 1 ]=0.L’appendice contient une étude des Γ structures sur les surfaces et un résultat sur la cohomologie de Diff S 1 .
@article{AIF_1973__23_4_213_0,
     author = {Roger, Claude},
     title = {\'Etude des $\Gamma $-structures de codimension 1 sur la sph\`ere $S^2$},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {23},
     number = {4},
     year = {1973},
     pages = {213-227},
     doi = {10.5802/aif.488},
     mrnumber = {50 \#1262},
     zbl = {0269.58006},
     language = {fr},
     url = {https://aif.centre-mersenne.org/item/AIF_1973__23_4_213_0}
}
Étude des $\Gamma $-structures de codimension 1 sur la sphère $S^2$. Annales de l'Institut Fourier, Volume 23 (1973) no. 4, pp. 213-227. doi : 10.5802/aif.488. https://aif.centre-mersenne.org/item/AIF_1973__23_4_213_0/

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