Tohoku Mathematical Journal
2004

September
SECOND SERIES VOL. 56, NO. 3

Tohoku Math. J.
56 (2004), 317-326

Title ESSENTIALLY COMPACT FOLIATIONS THAT ARE NOT COMPACT

Author Tracy L. Payne

(Received October 30, 2002)
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.

2000 Mathematics Subject Classification. 57R30.

Key words and phrases. Noncompact leaves, essentially compact foliation.

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