Article ID Journal Published Year Pages File Type
1862520 Physics Letters A 2007 6 Pages PDF
Abstract
An invariant foliation F with an induced non-degenerate metric 〈v,w〉 of constant curvature K is discovered for any degenerate Poisson bracket of hydrodynamic type. A hidden structure of nilpotent Lie algebras in the cotangent spaces is disclosed for gij(u)=0.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Preview
Invariant foliations for the Poisson brackets of hydrodynamic type
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