On Parallel Sections of a Vector Bundle

  title={On Parallel Sections of a Vector Bundle},
  author={Richard Atkins}
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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An Inverse Problem in the Calculus of Variations and the Characteristic Curves of Connections on SO ( 3 )Bundles Can

  • R. Atkins, Z. Ge
  • Math . Bull .
  • 1995

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