English

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

Differential Geometry 2007-05-23 v1 Exactly Solvable and Integrable Systems solv-int

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.

Keywords

Cite

@article{arxiv.math/9805019,
  title  = {The Generation of Compatible Jacobi Tensors via Gauge Transformations and its Applications},
  author = {Arthur G. Sergheyev},
  journal= {arXiv preprint arXiv:math/9805019},
  year   = {2007}
}

Comments

3 pages, Latex, no figures