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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 G2-structure ： ウィキペディア英語版 G2-structure In differential geometry, a G2-structure is an important type of G-structure that can be defined on a smooth manifold. If ''M'' is a smooth manifold of dimension seven, then a G2-structure is a reduction of structure group of the frame bundle of ''M'' to the compact, exceptional Lie group G2. == Equivalent conditions == The condition of ''M '' admitting a G2 structure is equivalent to any of the following conditions: *The first and second Stiefel–Whitney classes of ''M'' vanish. *''M'' is orientable and admits a spin structure. The last condition above correctly suggests that many manifolds admit G2-structures. 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「G2-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.