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Foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

Dmitry V. Bolotov
Dec 2022
摘要
It is proved that only a finite number of cohomological classes of a closedorientable irreducible three-dimensional Riemannian manifold can be representedby the Euler class of a tangent distribution to a smooth foliation ofcodimension one whose leaves have the modulus of the mean curvature boundedfrom above by a fixed constant.
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