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

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

2003-10-29

arxiv.org/abs/math/0310451v2

Acta Appl. Math. 83 (2004), 167-173

Mathematics

Differential Geometry

5 pages, AMS-LaTeX. v2: minor corrections

Scientific paper

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).

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