Covariant derivative
In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a differential operator, to be contrasted with the approach given by a principal connection on the frame bundle – see affine connection. In the special case of a manifold isometrically embedded into a higher-dimensional Euclidean space, the covariant derivative can be viewed as the orthogonal projection of the Euclidean derivative along a tangent vector onto the manifold's tangent space. In this case the Euclidean derivative is broken into two parts, the extrinsic normal component and the intrinsic covariant derivative component.
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Covariant derivative
In mathematics, the covariant derivative is a way of specifying a derivative along tangent vectors of a manifold. Alternatively, the covariant derivative is a way of introducing and working with a connection on a manifold by means of a differential operator, to be contrasted with the approach given by a principal connection on the frame bundle – see affine connection. In the special case of a manifold isometrically embedded into a higher-dimensional Euclidean space, the covariant derivative can be viewed as the orthogonal projection of the Euclidean derivative along a tangent vector onto the manifold's tangent space. In this case the Euclidean derivative is broken into two parts, the extrinsic normal component and the intrinsic covariant derivative component.
has abstract
A derivada covariante () é uma ...... de variedades diferenciáveis).
@pt
En géométrie différentielle, l ...... ulièrement du vecteur tangent.
@fr
In matematica, la derivata cov ...... utili in relatività generale.
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In mathematics, the covariant ...... known as a Koszul connection.
@en
In wiskunde en natuurkunde, is ...... algemene relativiteitstheorie.
@nl
La derivada covariante () es u ...... de variedades diferenciables).
@es
Pochodna kowariantna - tensor powstały w wyniku różniczkowania innego tensora.
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Ковариантная производная — обо ...... вектора обычно обозначается .
@ru
微分幾何学における共変微分(きょうへんびぶん、英: cova ...... をとった場合その変換規則は共変(covariant)となる。
@ja
数学上,共变导数或称协变导数是在流形上定义沿着向量场的导数的 ...... 记号。我们假设读者熟悉微分流形的概念特别是关于切向量的概念。
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Wikipage revision ID
743,614,788
author
title
Covariant differentiation
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hypernym
comment
A derivada covariante () é uma ...... de variedades diferenciáveis).
@pt
En géométrie différentielle, l ...... r la connexion de Levi-Civita.
@fr
In matematica, la derivata cov ...... utili in relatività generale.
@it
In mathematics, the covariant ...... ovariant derivative component.
@en
In wiskunde en natuurkunde, is ...... algemene relativiteitstheorie.
@nl
La derivada covariante () es u ...... de variedades diferenciables).
@es
Pochodna kowariantna - tensor powstały w wyniku różniczkowania innego tensora.
@pl
Ковариантная производная — обо ...... вектора обычно обозначается .
@ru
微分幾何学における共変微分(きょうへんびぶん、英: cova ...... をとった場合その変換規則は共変(covariant)となる。
@ja
数学上,共变导数或称协变导数是在流形上定义沿着向量场的导数的 ...... 记号。我们假设读者熟悉微分流形的概念特别是关于切向量的概念。
@zh
label
Covariant derivative
@en
Covariante afgeleide
@nl
Derivada covariante
@es
Derivada covariante
@pt
Derivata covariante
@it
Dérivée covariante
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Pochodna kowariantna
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Ковариантная производная
@ru
共变导数
@zh
共変微分
@ja