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Subbundle In mathematics, a subbundle ''U'' of a vector bundle ''V'' on a topological space ''X'' is a collection of linear subspaces ''U''''x'' of the fibers ''V''''x'' of ''V'' at ''x'' in ''X'', that make up a vector bundle in their own right. In connection with foliation theory, a subbundle of the tangent bundle of a smooth manifold may be called a distribution (of tangent vectors). If a set of vector fields ''Y''k span the vector space ''U'', and all Lie commutators () are linear combinations of the ''Y''k, then one says that ''U'' is an involutive distribution. ==See also==
* Frobenius theorem (differential topology) * Sub-Riemannian manifold
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Subbundle」の詳細全文を読む
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