Transversely Orientable Foliation

A foliation F of dimension p on a manifold M is transversely orientable if it is integral to a p-plane distribution D on M whose normal bundle Q is orientable. A p-plane distribution D whose normal bundle is orientable is said to be a transversely orientable distribution.

See also

Bundle, Bundle Orientation, Foliation, Foliation Leaf, Generalized Reeb Component, Reeb Component, Reeb Foliation

This entry contributed by Christopher Stover

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References

Conlon, L. Differentiable Manifolds. Boston, MA: Birkhäuser, 2008.

Referenced on Wolfram|Alpha

Transversely Orientable Foliation

Cite this as:

Stover, Christopher. "Transversely Orientable Foliation." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TransverselyOrientableFoliation.html

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