The Generation of Compatible Jacobi Tensors via Gauge Transformations and its Applications
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- May 1998
- DOI:
- 10.48550/arXiv.math/9805019
- arXiv:
- arXiv:math/9805019
- Bibcode:
- 1998math......5019S
- Keywords:
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- Mathematics - Differential Geometry;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Exactly Solvable and Integrable Systems
- E-Print:
- 3 pages, Latex, no figures