In mathematics, a **foliation** is a geometric device used to study manifolds, consisting of an integrable subbundle of the tangent bundle. A foliation looks locally like a decomposition of the manifold as a union of parallel submanifolds of smaller dimension.

Read more about Foliation: Definition, Foliations and Integrability, Existence of Foliations

### Other articles related to "foliation":

Shear (geology) - Microstructures of Shear Zones

... During the initiation of shearing, a penetrative planar

... During the initiation of shearing, a penetrative planar

**foliation**is first formed within the rock mass ... The incipient shear**foliation**typically forms normal to the direction of principal shortening, and is diagnostic of the direction of shortening ... In symmetric shortening, objects flatten on this shear**foliation**much the same way that a round ball of treacle flattens with gravity ...Existence of

... Haefliger (1970) gave a necessary and sufficient condition for a distribution on a connected non-compact manifold to be homotopic to an integrable distribution ... Thurston (1974, 1976) showed that any compact manifold with a distribution has a foliation of the same dimension ...

**Foliation**s... Haefliger (1970) gave a necessary and sufficient condition for a distribution on a connected non-compact manifold to be homotopic to an integrable distribution ... Thurston (1974, 1976) showed that any compact manifold with a distribution has a foliation of the same dimension ...

Cleavage (geology)

... Cleavage is a type of rock

... Cleavage is a type of rock

**foliation**, a fabric element that describes the way planar features develop in a rock ...**Foliation**is separated into two groups primary and secondary ... Cleavage is a type of secondary**foliation**associated with fine grained rocks ...Main Site Subjects

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