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Geometry of Jacobi curves. I. (English) Zbl 1019.53038
In the paper under review the authors develop the differential geometry of the Jacobi curves which provides the basic feedback for a wide class of smooth control systems and geometric structures.

MSC:
53D05 Symplectic manifolds (general theory)
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
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