Extending regular foliations
Smith, J. W.
Annales de l'Institut Fourier, Tome 19 (1969), p. 155-168 / Harvested from Numdam
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On dit qu’une structure feuilletée F de dimension p sur une variété différentiable M se prolonge s’il existe une structure feuilletée F ′ de dimension p+1 sur M telle que F⊂F ′ . Le résultat principal de cet article est que F se prolonge sur les ensembles relativement compacts de M sous les hypothèses que M et F soient orientables, que F soit propre et que la classe d’Euler de M/F s’annule.

A p-dimensional foliation F on a differentiable manifold M is said to extend provided there exists a (p+1)-dimensional foliation F ′ on M with F⊂F ′ . Our main result asserts that if M and F extends over relatively compact subsets of M.

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     author = {Smith, J. W.},
     title = {Extending regular foliations},
     journal = {Annales de l'Institut Fourier},
     volume = {19},
     year = {1969},
     pages = {155-168},
     doi = {10.5802/aif.325},
     mrnumber = {42 \#1143},
     zbl = {0176.21403},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1969__19_2_155_0}
}

Smith, J. W. Extending regular foliations. Annales de l'Institut Fourier, Tome 19 (1969) pp. 155-168. doi : 10.5802/aif.325. http://gdmltest.u-ga.fr/item/AIF_1969__19_2_155_0/

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