On riemannian foliations with minimal leaves

Lopez, Jesús A. Alvarez

Annales de l'Institut Fourier, Tome 40 (1990) no. 1, pp. 163-176.

Pour un feuilletage riemannien, on utilise la topologie de la suite spectrale correspondante pour caractériser l’existence d’une métrique “bundle-like” telle que les feuilles sont des sous-variétés minimales. Quand la codimension est $\le 2$, on prouve une caractérisation cohomologique simple de cette propriété géométrique.

For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is $\le 2$, a simple characterization of this geometrical property is proved.

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