Cartan's soldered spaces and conservation laws in physics

DOI10.1142/S0219887815500899zbMath1327.81186OpenAlexW1972470452WikidataQ125358021 ScholiaQ125358021MaRDI QIDQ3453262

C. Barbachoux, Joseph Kouneiher

Publication date: 20 November 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815500899

zbMATH Keywords

Yang-Mills theorygeneral relativityintegrability conditionssoldered spacessoldering forms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Differential geometry of symmetric spaces (53C35) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Noncompact Lie groups of transformations (57S20)

Cites Work

• Conservation laws and integrability conditions for gravitational and Yang-Mills field equations
• A new proof of the positive energy theorem.
• Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
• On Connections Of Cartan
• Broken Symmetries
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• MacDowell–Mansouri gravity and Cartan geometry
• Unnamed Item
• Unnamed Item

This page was built for publication: Cartan's soldered spaces and conservation laws in physics