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Totally geodesic foliations on 4-manifolds. (English) Zbl 0601.53027

The authors describe in detail 2-dimensional totally geodesic foliations of compact Riemannian 4-manifolds. The complete classification of these foliations in the case of a simply connected manifold is obtained.
Reviewer: A.Piatkowski

MSC:

53C12 Foliations (differential geometric aspects)
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