Vertical and horizontal bundles
In mathematics, the vertical bundle and the horizontal bundle are two subbundles of the tangent bundle of a smooth fiber bundle, forming complementary subspaces at each point of the fibre bundle. The vertical bundle consists of all vectors that are tangent to the fibers, while the horizontal bundle is then a particular choice of a subbundle of the tangent bundle which is complementary to the vertical bundle.
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Vertical and horizontal bundles
In mathematics, the vertical bundle and the horizontal bundle are two subbundles of the tangent bundle of a smooth fiber bundle, forming complementary subspaces at each point of the fibre bundle. The vertical bundle consists of all vectors that are tangent to the fibers, while the horizontal bundle is then a particular choice of a subbundle of the tangent bundle which is complementary to the vertical bundle.
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In mathematics, the vertical b ...... onnection on the frame bundle.
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在数学微分几何领域，一个光滑纤维丛的铅直丛（vertical ...... 称为这个联络的水平丛（horizontal bundle）。
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In mathematics, the vertical b ...... entary to the vertical bundle.
@en
在数学微分几何领域，一个光滑纤维丛的铅直丛（vertical ...... 称为这个联络的水平丛（horizontal bundle）。
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Vertical and horizontal bundles
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铅直丛
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수직 벡터 다발
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