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First order semitangent structures. (Russian) Zbl 0603.53022

Let M be an n-dimensional manifold with a foliation of codimension m. Let Q be its transversal vector bundle over M. Then Q is an \((n+m)\)- dimensional manifold admitting some natural G-structure. The manifolds with this G-structure are called the first order semi-tangent structures. In this paper the author describes the liftings of the (1,1)-tensors and linear connections from M to Q assuming some ”foliated” conditions.
Reviewer: W.Mozgawa

MSC:

53C12 Foliations (differential geometric aspects)
53C10 \(G\)-structures
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