nLab
vector field

Context

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

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)(1,0)-tensor field on XX

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)