Article ID Journal Published Year Pages File Type
1893489 Journal of Geometry and Physics 2008 19 Pages PDF
Abstract

Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are studied. Firstly, pairs of degree 2 operators are considered in terms of an algebra structure on the space of 1-forms, related to so-called Fermionic Novikov algebras. Then, degree 2 operators are considered as deformations of hydrodynamic type Poisson brackets.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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