Dirac reduction of the Hamiltonian operator \(\delta^{IJ}d/dx\) to a submanifold of Euclidean space with flat normal connection

DOI10.1007/BF01075056zbMath0802.58023OpenAlexW1969892217MaRDI QIDQ1320685

Evgeny V. Ferapontov

Publication date: 18 May 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075056

zbMATH Keywords

Hamiltonian operatorconstraintsflat normal connectionDirac reduction

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Whitham systems and deformations ⋮ Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ The multi-dimensional Hamiltonian structures in the Whitham method ⋮ On the minimal set of conservation laws and the Hamiltonian structure of the Whitham equations ⋮ The Lorentz-invariant deformation of the Whitham system for the nonlinear Klein-Gordon equation ⋮ On the canonical forms of the multi-dimensional averaged Poisson brackets ⋮ Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations

Cites Work

• Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure