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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 Reshetnyak gluing theorem ： ウィキペディア英語版 Reshetnyak gluing theorem In metric geometry, the Reshetnyak gluing theorem gives information on the structure of a geometric object build by using as building blocks other geometric objects, belonging to a well defined class. Intuitively, it states that a manifold obtained by joining (i.e. "''gluing''") together, in a precisely defined way, other manifolds having a given property inherit that very same property. The theorem was first stated and proved by Yurii Reshetnyak in 1968.〔See the original paper by or the book by .〕 ==Statement== Theorem: Let $X\_i$ be complete locally compact geodesic metric spaces of CAT curvature $\backslash leq\; \backslash kappa$, and $C\_i\backslash subset\; X\_i$ convex subsets which are isometric. Then the manifold $X$, obtained by gluing all $X\_i$ along all $C\_i$, is also of CAT curvature $\backslash leq\; \backslash kappa$. For an exposition and a proof of the Reshetnyak Gluing Theorem, see . 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「Reshetnyak gluing theorem」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.