A manifold is said to be orientable if it can be given an orientation. Note the distinction between an "orientable manifold" and an "oriented manifold," where the former implies the possibility of giving the manifold in question an orientation, while the latter implies that the manifold has already been given an orientation.

# Orientable Manifold

## See also

Manifold, Manifold Orientation
*This entry contributed by Rasmus
Hedegaard*

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## Cite this as:

Hedegaard, Rasmus. "Orientable Manifold." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/OrientableManifold.html