tangent space
Sign in to savevector space associated to a point in a smooth manifold, consisting of vectors tangent to it (in some embedding into Euclidean space)
Wikidata facts
- Instance of
- vector space
- Part of
- tangent bundle
- Image
- Tangentialvektor.svg
Show 3 more facts
- maintained by WikiProject
- WikiProject Mathematics
- dual to
- cotangent space
- Commons category
- Tangent space
Sources (2)
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Encyclopedic overview
In mathematics, the tangent space of a manifold is a generalization of tangent lines to curves in two-dimensional space and tangent planes to surfaces in three-dimensional space in higher dimensions. In the context of physics, the tangent space to a manifold at a point can be viewed as the space of possible velocities for a particle moving on the manifold.
Informal description
Excerpted from Wikipedia’s “tangent space” article, available under the CC BY-SA 4.0 licence.