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Integrable almost s-tangent structures. (English) Zbl 0814.53028

The prototype of an almost \(s\)-tangent structure is the space of all 1- jets from reals into a manifold \(M\). The authors study an arbitrary almost \(s\)-tangent structure from the viewpoint of the general theory of \(G\)-structures. They deduce an integrability condition of such a structure in terms of the Nijenhuis tensor. Then they present a complete geometric characterization of all almost \(s\)-tangent structures which are globally equivalent to a stable tangent bundle.
Reviewer: I.Kolář (Brno)

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C10 \(G\)-structures
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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