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Abstract
The notion of a systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) for the foliation ℱ on closed 3-dimensional Riemannian manifold M, the modulus of mean curvature of the leaves of which is bounded above by a fixed constant H0 is given. As a consequence, we estimate the number of Reeb components of such a foliation.
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