Connection (vector bundle)
In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. If the fiber bundle is a vector bundle, then the notion of parallel transport must be linear. Such a connection is equivalently specified by a covariant derivative, which is an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Connections in this sense generalize, to arbitrary vector bundles, the concept of a linear connection on the tangent bundle of a smooth manifold, and are sometimes known as linear connections. Nonlinear connections are connections that are not necessarily linear in this sense.
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Connection (vector bundle)
In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or identify fibers over nearby points. If the fiber bundle is a vector bundle, then the notion of parallel transport must be linear. Such a connection is equivalently specified by a covariant derivative, which is an operator that can differentiate sections of that bundle along tangent directions in the base manifold. Connections in this sense generalize, to arbitrary vector bundles, the concept of a linear connection on the tangent bundle of a smooth manifold, and are sometimes known as linear connections. Nonlinear connections are connections that are not necessarily linear in this sense.
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En géométrie différentielle, u ...... ortement utilisées en analyse.
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In mathematics, a connection o ...... mework for describing them ().
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在数学中,纤维丛上一个联络是一个定义丛上平行移动的装置;即将 ...... 路易·科斯居尔命名,他给出了描述这个联络的一个代数框架()。
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En géométrie différentielle, u ...... de toute variété riemannienne.
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In mathematics, a connection o ...... essarily linear in this sense.
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在数学中,纤维丛上一个联络是一个定义丛上平行移动的装置;即将 ...... 路易·科斯居尔命名,他给出了描述这个联络的一个代数框架()。
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Connection (vector bundle)
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Connexion de Koszul
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联络 (向量丛)
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