Noether's Theorems

DOI10.2991/978-94-6239-171-0zbMath1357.58002OpenAlexW4246138027MaRDI QIDQ3455904

Gennadi A. Sardanashvily

Publication date: 11 December 2015

Published in: Atlantis Studies in Variational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/978-94-6239-171-0

zbMATH Keywords

Hamiltoniansvariational bicomplexYang-Mills gauge theoryNoether's theoremsLagrangiansNoether identitiesspace of jetsGrassmann-graded Lagrangians

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Applications of global analysis to the sciences (58Z05) Supermanifolds and graded manifolds (58A50) Applications of PDEs on manifolds (58J90) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (7)

Covariant hydrodynamics of Hamiltonian systems ⋮ Hamilton-Jacobi theory for gauge field theories ⋮ Noether currents for higher-order variational problems of Herglotz type with time delay ⋮ The Noether–Bessel-Hagen symmetry approach for dynamical systems ⋮ Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents ⋮ Vortex gap solitons in spin-orbit-coupled Bose-Einstein condensates with competing nonlinearities ⋮ Force balance in thermal quantum many-body systems from Noether’s theorem

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