A foliation 
of dimension 
on a manifold 
is transversely orientable if it 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.Cite this as:
Stover, Christopher. "Transversely Orientable Foliation." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TransverselyOrientableFoliation.html