Abstract
The necessary criteria are pointed out for the exisence of Hamiltonian and bi-Hamiltonian non-degenerate structures for a nonlinear system of partial differential equations of first order. The results are formulated in terms of the new invariants of the intrinsic geometry, introduced in this paper, connected with the Nijenhuis and Haantjes tensors of a (1,1) tensor field.
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Communicated by H. Araki
Supported by NSERC grant OGPIN 337
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Bogoyavlenskij, O.I. Necessary conditions for existence of non-degenerate Hamiltonian structures. Commun.Math. Phys. 182, 253–289 (1996). https://doi.org/10.1007/BF02517890
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DOI: https://doi.org/10.1007/BF02517890