Reviews in Mathematics and Mathematical Physics, Volume 11, Issue 2Harwood Academic Publishers, 2001 - Mathematical physics |
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Contents
Differential geometry of symplectic | 13 |
homogeneous symplectic structures | 40 |
Symplectic representations for degenerate | 46 |
Copyright | |
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Analiz i ego arbitrary smooth bi-Hamiltonian bijk bivector brackets of hydrodynamic canonical Hamiltonian changes of coordinates closed 3-form coefficients cohomology groups constant form constant Riemannian curvature corresponding degenerate differential differential-geometric Dubrovin and Novikov ego Prilozhen English transl equations of associativity Əgij Ferapontov E. V. finite-dimensional first-order homogeneous formula Functional Anal Funktsional g¹³ geometry gija Hamiltonian operators Hamiltonian systems homogeneous k-forms hydrodynamic type Jacobi identity KdV equation Korteweg-de Vries equation Lagrangian Lagrangian system Lemma Let us consider Lie algebra loop space loop space NM matrix metric gij Mokhov O.I. multidimensional Nauk non-linear non-local Poisson one-dimensional Phys Poisson bracket Poisson structures reduced Riemannian curvature skew-symmetric smooth manifolds spaces of smooth structures of hydrodynamic Su³ symmetric symplectic connection symplectic manifold symplectic operators symplectic representation symplectic structures systems of hydrodynamic Theorem Tijk tion transformation two-dimensional u¹u² variables vector fields δι