Stress-energy-momentum tensors for natural constrained variational problems

DOI10.1016/S0393-0440(03)00058-5zbMath1069.58010OpenAlexW1992687055MaRDI QIDQ557185

César Rodrigo, Antonio Fernández, Pedro L. García

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(03)00058-5

zbMATH Keywords

Poincaré-Cartan formsMulti-momentum mapsNatural Lagrangian densitiesStress-energy-momentum tensors

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Variational principles in infinite-dimensional spaces (58E30) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (4)

Chetaev versus vakonomic prescriptions in constrained field theories with parametrized variational calculus ⋮ Cartan forms for first order constrained variational problems ⋮ Discrete formulation for the dynamics of rods deforming in space ⋮ GAUGE-NATURAL PARAMETRIZED VARIATIONAL PROBLEMS, VAKONOMIC FIELD THEORIES AND RELATIVISTIC HYDRODYNAMICS OF A CHARGED FLUID

Cites Work

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• Poincaré-Cartan forms in higher order variational calculus on fibred manifolds
• Natural bundles have finite order
• Gauge algebras, curvature and symplectic structure
• Some remarks on Lagrangian and Poisson reduction for field theories.
• Stress-energy-momentum tensors in higher order variational calculus
• On the Green--Vinogradov formula
• Connections and 1-jet fiber bundles
• Lagrangian reduction by stages
• Transformation Groups and Natural Bundles
• Euler-Poincaré reduction on principal bundles

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