A section of a fiber bundle gives an element of the fiber over every point in . Usually it is described as a map such that is the identity on . A real-valued function on a manifold is a section of the trivial line bundle . Another common example is a vector field, which is a section of the tangent bundle.

# Bundle Section

## See also

Fiber Bundle, Tangent Bundle, Vector Bundle, Zero Section
*This entry contributed by Todd
Rowland*

## Explore with Wolfram|Alpha

## Cite this as:

Rowland, Todd. "Bundle Section." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/BundleSection.html