A transversely orientable foliation is a foliation 
of dimension 
on a manifold 
that is integral to a 
-plane distribution 
on 
whose normal bundle 
is orientable. A 
-plane distribution 
whose normal bundle is orientable is said to be a transversely
orientable distribution.
Transversely Orientable Foliation
See also
Bundle, Bundle Orientation, Foliation, Foliation Leaf, Generalized Reeb Component, Reeb Component, Reeb FoliationThis entry contributed by Christopher Stover
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References
Conlon, L. Differentiable Manifolds. Boston, MA: Birkhäuser, 2008.Referenced on Wolfram|Alpha
Transversely Orientable FoliationCite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Transversely Orientable Foliation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TransverselyOrientableFoliation.html