Vertical bundle

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 tangent bundle which is complementary to vertical bundle.

单词	Horizontal subspace
释义	Horizontal subspace 英语百科 Vertical bundle 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 tangent bundle which is complementary to vertical bundle.
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Horizontal subspace

Vertical bundle