tangent space


Also found in: Dictionary, Thesaurus, Wikipedia.

tangent space

[′tan·jənt ‚spās]
(mathematics)
The vector space of all tangent vectors at a given point of a differentiable manifold.
References in periodicals archive ?
n]} bean orthonormal basis of the tangent space [T.
itself while preserving the first-order information of the tangent space in this point (see Figure 4.
The basic idea of LLTSA is to use the tangent space in the neighborhood of a data point to represent the local geometry of the feature.
If we are able to find such an approximation in order to restore a smooth map F from the discrete map F g then the derivatives at each grid point is available, and the tangent space will become:
This, in turn, shall lead to a decomposition of the tangent space of the manifold into a direct sum of orthogonal subbundles.
Since B is a linear space, its tangent space is itself and is sufficient to show that
So as tangent space in any point we will consider the holomorphic tangent space.
I], that can play the role of a higher order tangent space.
2]) and consider the tangent space n of the Hermitian variety at p.
An anchored vector bundle (AVB) (or a relative tangent space, see [14, 17]) is a couple ([theta],D), where [theta] = (E, p,M) is a vector bundle and D:[theta][right arrow][tau]M is a vector bundle morphism called an anchor (an arrow, or a tangent map).