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

1998/05/05 by Arthur G. Sergheyev, Sergheyev, Arthur G.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #Experimental and Theoretical Physics Studies #FOS: Mathematics #FOS: Physical sciences #math.DG #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.math/9805019

3 pages, Latex, no figures

arxiv created 1998/05/05 · openalex publication_date 1998/05/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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