Bundle Section

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

See also

Fiber Bundle, Tangent Bundle, Vector Bundle, Zero Section

This entry contributed by Todd Rowland

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Rowland, Todd. "Bundle Section." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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