nLab
vector field

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Differential geometry

differential geometry

synthetic differential geometry

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Definition

A vector field is a section of a vector bundle.

More specifically, a vector field is a tangent vector field which is a section of a tangent bundle. Equivalently this is a rank (1,0)-tensor field on X

References

For instance section 1.3 and 1.4 of

Revised on January 6, 2013 17:35:05 by Urs Schreiber (89.204.138.182)
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