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arXiv · 0804.1732

On Parallel Sections of a Vector Bundle

Richard Atkins
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Abstract

We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.

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Richard Atkins. 2008-04-10. On Parallel Sections of a Vector Bundle. https://arxiv.org/abs/0804.1732

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