# nLab vector field

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

# Contents

## 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)