Essentially compact foliations that are not compact

Payne, Tracy L.

Payne, Tracy L.

Tohoku Math. J. (2), Tome 56 (2004) no. 1, p. 317-326 / Harvested from Project Euclid

Résumé

We study smooth foliations of compact manifolds where the set of noncompact leaves has zero Lebesgue measure (and is nonempty). We review a simple example due to Reeb and provide two new examples that show more complicated behavior that may occur.

Publié le : 2004-09-14
Classification: Noncompact leaves, essentially compact foliation, 57R30

@article{1113246669,
     author = {Payne, Tracy L.},
     title = {Essentially compact foliations that are not compact},
     journal = {Tohoku Math. J. (2)},
     volume = {56},
     number = {1},
     year = {2004},
     pages = { 317-326},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246669}
}

Payne, Tracy L. Essentially compact foliations that are not compact. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp.  317-326. http://gdmltest.u-ga.fr/item/1113246669/