On Parallel Sections of a Vector Bundle

Details On Parallel Sections of a Vector Bundle On Parallel Sections of a Vector Bundle

2008-04-10

arxiv.org/abs/0804.1732v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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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