An intrinsic and exterior form of the Bianchi identities

DOI10.1142/S0219887817500013zbMath1356.53022arXiv1501.01123OpenAlexW2963872807MaRDI QIDQ2956638

Geoff Prince, Thoan Do

Publication date: 18 January 2017

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

Full work available at URL: https://arxiv.org/abs/1501.01123

zbMATH Keywords

torsioncurvatureBianchi identitiesstructure equationsexterior calculus

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Connections (general theory) (53C05) Linear and affine connections (53B05)

Cites Work

• Jacobi fields and linear connections for arbitrary second-order ODEs.
• On Bianchi identities
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Variational Problems on Contact Riemannian Manifolds
• Connections, Sprays and Finsler Structures
• Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations
• Manifolds, Tensors, and Forms
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