Parallélisme d'une variété des points proches

Mathematics – Differential Geometry

Scientific paper

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12 pages

Scientific paper

Let M be a smooth manifold, A a local algebra, M^{A} the manifold of near
points on M of kind A. We use the structure of C^{\infty}(M^{A},A)-module on
the set X(M^{A}) of vector fields on M^{A} for to give the equivalence of
parallelism of the A-manifold M^{A}.

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