A bundle section of a fiber bundle 
gives an element of the
fiber over every point in 
. Usually it is described as a continuous
map 
such that 
is the identity map
on 
. A continuous 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 SectionPortions of this entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Bundle Section." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BundleSection.html