Boundary values as Hamiltonian variables. II. Graded structures

DOI10.1063/1.1478144zbMath1060.37066arXivq-alg/9501017OpenAlexW2020811043MaRDI QIDQ4832681

Vladimir O. Soloviev

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9501017

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (3)

Boundary values as Hamiltonian variables. III. Ideal fluid with a free surface ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration ⋮ The algebra independent of boundary conditions in the Ashtekar formalism

Cites Work

• On the structure of Hamiltonian operators in field theory
• The Hamiltonian structure for dynamic free boundary problems
• Tensorial Euler-Lagrange expressions and conservation laws
• Role of surface integrals in the Hamiltonian formulation of general relativity
• New Poisson brackets: Boundary values as Hamiltonian variables
• Bering’s proposal for boundary contribution to the Poisson bracket
• Putting an edge to the Poisson bracket
• Higher Euler operators and some of their applications
• Fixation of Coordinates in the Hamiltonian Theory of Gravitation
• Quantized Gravitational Field
• Boundary values as Hamiltonian variables. I. New Poisson brackets
• Isomorphisms between the Batalin–Vilkovisky antibracket and the Poisson bracket
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• Boundary values as Hamiltonian variables. III. Ideal fluid with a free surface
• Quantum Theory of Gravity. I. The Canonical Theory

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