Geodesic
Homeomorphisms of the line and a~foliation
Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 341-354.

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This paper considers foliations of codimension one and class $C^i$, $i\geqslant0$. Under specified restrictions on the fundamental group of a Novikov component the study of such a foliation can be reduced to studying the representation of the fundamental group as homeomorphisms of the line. As a result theorems are obtained about the existence of a compact leaf. Applications are obtained to the real-analytic foliations and Anosov foliations. Bibliography: 12 titles. 
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V. V. Solodov. Homeomorphisms of the line and a~foliation. Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 341-354. http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a6/

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