Geodesic
Topology of codimension-one foliations of nonnegative curvature
Sbornik. Mathematics, Tome 204 (2013) no. 5, pp. 621-640 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that a transversely oriented $C^2$-foliation of codimension one with nonnegative Ricci curvature on a closed orientable manifold is a foliation with almost no holonomy. This allows us to decompose the manifold into blocks on which this foliation has a simple structure. We also show that a manifold homeomorphic to a 5-dimensional sphere does not admit a codimension-one $C^2$-foliation with nonnegative sectional curvature. Bibliography: 29 titles.
Keywords: Riemannian manifold, curvature.
Mots-clés : foliation 
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D. V. Bolotov. Topology of codimension-one foliations of nonnegative curvature. Sbornik. Mathematics, Tome 204 (2013) no. 5, pp. 621-640. http://geodesic.mathdoc.fr/item/SM_2013_204_5_a0/

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