This article is cited in 1 paper

Foliation without limit cycles

A. L. Brakhman

M. V. Lomonosov Moscow State University

Abstract: The following theorem is proved for a closed manifold $M$ with an oriented foliated structure of codimension 1 without limit cycles, supplemented by a foliation of one-dimensional normals: if every normal in $M$ intersects every leaf, the same is true of the induced foliation on $\widetilde{M}$ (a universal covering of $M$).

UDC: 513.83

Received: 20.11.1969

 English version: Mathematical Notes, 1971, 9:2, 107–112

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