Tensors | Differential topology

Cotangent space

In differential geometry, the cotangent space is a vector space associated with a point on a smooth (or differentiable) manifold ; one can define a cotangent space for every point on a smooth manifold. Typically, the cotangent space, is defined as the dual space of the tangent space at , , although there are more direct definitions (see below). The elements of the cotangent space are called cotangent vectors or tangent covectors. (Wikipedia).

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Related pages

Linear map | Multilinear map | Equivalence class | Vector space | Differential form | Differential geometry | Tangent space | Dual space | Field (mathematics) | Lie derivative | Ideal (ring theory) | Quotient space (linear algebra) | Real number | Zariski tangent space | Pushforward (differential) | Pullback (differential geometry) | Isomorphism | Cotangent bundle