foliation
Sign in to save200px|thumb|2-dimensional section of Reeb foliation 200px|thumb|right|3-dimensional model of Reeb foliation
~47 min read
Encyclopedic overview
20 sectionsContents
- Foliated charts and atlases
- Foliation definitions
- Holonomy
- Foliated bundles
- Examples
- Flat space
- Bundles
- Coverings
- Submersions
- Reeb foliations
- Lie groups
- Lie group actions
- Linear and Kronecker foliations
- Suspension foliations
- Foliations and integrability
- Existence of foliations
- See also
- Notes
- References
- External links
200px|thumb|2-dimensional section of Reeb foliation 200px|thumb|right|3-dimensional model of Reeb foliation
In mathematics, a '''p-dimensional foliation' is a partition of a manifold into submanifolds, all of the same dimension p, locally modeled on the decomposition of Rn into the p-dimensional planes cut out by the equations x_{p+1} = a_{p+1}, \ldots, x_n = a_n. The submanifolds are called the leaves of the foliation.
Excerpted from Wikipedia’s “foliation” article, available under the CC BY-SA 4.0 licence.