The zero section of a vector bundle is the submanifold of the bundle that consists of all the zero vectors.
Zero Section
See also
Bundle, Bundle Section, Manifold, Vector Bundle, Zero VectorThis entry contributed by Ryan Budney
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Budney, Ryan. "Zero Section." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ZeroSection.html