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The Generation of Compatible Jacobi Tensors via Gauge Transformations and its Applications

Arthur G. Sergheyev

math.DGarXiv:math/9805019

Abstract

We present a simple way of generating the infinite set of Jacobi tensors, compatible with a given one, via the "gauge transformations" of the functions on Jacobi manifold. We consider also some applications of this result to the construction of bi-Hamiltonian systems on Jacobi manifolds.

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