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 SectionThis entry contributed by Todd Rowland
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Cite this as:
Rowland, Todd. "Bundle Section." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BundleSection.html