On third-order Poisson brackets of differential geometry

DOI10.1070/RM1997v052n03ABEH001817zbMath0935.53036OpenAlexW1983600493WikidataQ115324059 ScholiaQ115324059MaRDI QIDQ4220860

G. V. Potëmin

Publication date: 8 April 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1997v052n03abeh001817

zbMATH Keywords

curvature tensorPoisson bracketshydrodynamic type

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (13)

Systems of conservation laws with third-order Hamiltonian structures ⋮ On a class of third-order nonlocal Hamiltonian operators ⋮ Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ Bi-Hamiltonian structures of KdV type ⋮ Computing with Hamiltonian operators ⋮ Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies, and multicomponent Hunter-Saxton equations ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ Homogeneous Hamiltonian operators and the theory of coverings ⋮ Projective-geometric aspects of homogeneous third-order Hamiltonian operators ⋮ On the bi-Hamiltonian geometry of WDVV equations

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