Normal frames for general connections on differentiable fibre bundles
نویسنده
چکیده
The theory of frames normal for general connections on differentiable bundles is developed. Links with the existing theory of frames normal for covariant derivative operators (linear connections) in vector bundles are revealed. The existence of bundle coordinates normal at a given point and/or along injective horizontal path is proved. A necessary and sufficient condition of existence of bundle coordinates normal along injective horizontal mappings is derived. Bozhidar Z. Iliev: Normal frames for connections 1
منابع مشابه
A pedagogical introduction
The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles. The (local) representations of connections in frames adapted to holonomic and arbitrary frames is considered. Bozhidar Z. Iliev: Connection theory: A pedagogical introduction 1
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