Subbundle
Mathematical collection
In mathematics, a subbundle of a vector bundle on a topological space is a collection of linear subspaces of the fibers of at in that make up a vector bundle in their own right.
In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution (of tangent vectors).
If a set of vector fields span the vector space and all Lie commutators are linear combinations of the then one says that is an involutive distribution.
See also
- Frobenius theorem (differential topology) – On finding a maximal set of solutions of a system of first-order homogeneous linear PDEs
- Sub-Riemannian manifold – Type of generalization of a Riemannian manifold
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Manifolds (Glossary)
- Topological manifold
- Atlas
- Differentiable/Smooth manifold
- Differential structure
- Smooth atlas
- Submanifold
- Riemannian manifold
- Smooth map
- Submersion
- Pushforward
- Tangent space
- Differential form
- Vector field
- Curve
- Diffeomorphism
- Geodesic
- Exponential map
- in Lie theory
- Foliation
- Immersion
- Integral curve
- Lie derivative
- Section
- Submersion
manifolds
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