Gauge Theory in Jet Manifolds

Автор: Sardanashvily G.
Год издания: 1993
Место издания: Hadronic Press Palm Harbor, FL, USA
Объём: 159 страниц
ISBN: 0-911767-60-6
Аннотация: 1. Fibred Manifolds 2. Jet Manifolds and Connections: 2.1 Jet manifolds, 2.2 Canonical horizontal splitting, 2.3 First order connections, 2.4 Connections on composite manifolds, 2.5 Geometry of the Legendre manifolds, 2.6 Second order jet manifolds, 2.7 Higher order jet manifolds, 2.8 Differential operators 3. Lagrangian Formalism in Jet manifolds 4. Multimomentum Hamiltonian Formalism: 4.1 Multisymplectic structure, 4.2 Multimomentum Hamiltonian forms, 4.3 Hamilton equations, 4.4 The case of mechanics 5. Constraint Systems: 5.1 Hamiltonian and Lagrangian systems, 5.2 Hyperregular Lagrangian densities, 5.3 Semiregular Lagrangian densities, 5.4 Almost regular Lagrangian densities, 5.5 Quadratic Lagrangian densities 6. Field Theory: 6.1 Gauge theory of principal connections, 6.2 Scalar matter fields, 6.3 Gravity in multimomentum variables, 6.4 Energy-momentum conservation law, 6.5 Systems on composite manifolds, 6.6 Spontaneous symmetry breaking, 6.7 Gauge gravitation theory, 6.8 Dirac fermion fields
Добавил в систему: Сарданашвили Геннадий Александрович

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