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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Secondary vector bundle structure ： ウィキペディア英語版 Secondary vector bundle structure In mathematics, particularly differential topology, the secondary vector bundle structure refers to the natural vector bundle structure on the total space ''TE'' of the tangent bundle of a smooth vector bundle , induced by the push-forward of the original projection map . This gives rise to a double vector bundle structure . In the special case , where is the double tangent bundle, the secondary vector bundle is isomorphic to the tangent bundle of through the canonical flip. == Construction of the secondary vector bundle structure == Let be a smooth vector bundle of rank . Then the preimage of any tangent vector in in the push-forward of the canonical projection is a smooth submanifold of dimension , and it becomes a vector space with the push-forwards :$+\_$ *:T(E\times E)\to TE, \qquad \lambda_ *:TE\to TE of the original addition and scalar multiplication :$+:E\backslash times\; E\backslash to\; E,\; \backslash qquad\; \backslash lambda:E\backslash to\; E$ as its vector space operations. The triple becomes a smooth vector bundle with these vector space operations on its fibres. 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「Secondary vector bundle structure」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.