Normal frames for general connections on differentiable fibre bundles

DOI10.1016/J.GEOMPHYS.2005.04.018zbMath1100.53022arXivmath/0405004OpenAlexW1994991151MaRDI QIDQ2490735

Bozhidar Z. Iliev

Publication date: 18 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0405004

zbMATH Keywords

normal coordinatescovariant derivativeslinear connectionadapted framesnormal framesconnections on bundlescoefficients of (linear) connectionspecialized frames

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Connections (general theory) (53C05) Linear and affine connections (53B05) Vector distributions (subbundles of the tangent bundles) (58A30) Fiber spaces and bundles in algebraic topology (55R99)

Cites Work

• Is the principle of equivalence a principle?
• Normal frames for derivations and linear connections and the equivalence principle
• Normal frames and the validity of the equivalence principle: III. The case along smooth maps with separable points of self-intersection
• Normal frames and the validity of the equivalence principle: II. The case along paths
• Normal frames and the validity of the equivalence principle: I. Cases in a neighbourhood and at a point
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