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
Explore with Wolfram|Alpha
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