On the integrability conditions for some structures related to evolution differential equations

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Using the result by D.Gessler (Differential Geom. Appl. 7 (1997) 303-324, DIPS-9/98, http://diffiety.ac.ru/preprint/98/09_98abs.htm), we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).
5 pages, AMS-LaTeX. v2: minor corrections

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, Analysis of PDEs, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/95948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310451
 http://arxiv.org/abs/math/0310451
 Acta Appl. Math. 83 (2004), 167-173

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arXiv