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- W885310 abstract "This is a summary of our recent results to appear in [5]. In the framework of jet superspace geometry, we introduce variational multivectors and the variational Poisson and Schouten brackets, which are dual to the variational complex. Their relations with the antibracket in field theory and applications to finding Hamiltonian structures for evolution equations are outlined. We show also that local variational differential operators of B. L. Voronov, I. V. Tyutin, and Sh. S. Shakhverdiev are determined by variational multivectors and are well defined on the algebra of multilocal functionals. To achieve the latter result, we show that locally a finite number of smooth action functionals are either linearly dependent or ‘almost’ functionally independent in a certain sense." @default.
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- W885310 date "2004-01-01" @default.
- W885310 modified "2023-09-27" @default.
- W885310 title "Variational Multivectors and Brackets in the Geometry of Jet Spaces" @default.
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