Tangent space
Vector space associated to a point in a smooth manifold, consisting of vectors tangent to it (in some embedding into Euclidean space)
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.
Nº Q909601 ★★
Uncommon · Knowledge
Tangent space
Vector space associated to a point in a smooth manifold, consisting of vectors tangent to it (in some embedding into Euclidean space)
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.
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From Wikipedia
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.
Text: Wikipédia, CC BY-SA 4.0. · Image: derivative work: McSush (talk) Tangentialvektor.png: TN The... (Public domain) ·
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