Essentially compact foliations that are not compact

Tracy L. Payne

doi:10.2748/tmj/1113246669

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Home > Journals > Tohoku Math. J. (2) > Volume 56 > Issue 3 > Article

2004 Essentially compact foliations that are not compact

Tracy L. Payne

Tohoku Math. J. (2) 56(3): 317-326 (2004). DOI: 10.2748/tmj/1113246669

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Abstract

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.

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Tracy L. Payne. "Essentially compact foliations that are not compact." Tohoku Math. J. (2) 56 (3) 317 - 326, 2004. https://doi.org/10.2748/tmj/1113246669