翻訳と辞書
Words near each other
・ (E,E)-germacrene B synthase
・ (Evening) Time to Get Away
・ (Every Day Is) Halloween
・ (Every Time I Turn Around) Back in Love Again
・ (Everybody's Waitin' for) The Man with the Bag
・ (Everything I Do) I Do It for You
・ (Feels Like) Heaven
・ (Flesh & Blood) Sacrifice
・ (For God's Sake) Give More Power to the People
・ (Forever) Live and Die
・ (Fork and Knife)
・ (Formate-C-acetyltransferase)-activating enzyme
・ (Freak) And U Know It
・ (Fructose-bisphosphate aldolase)-lysine N-methyltransferase
・ (g,K)-module
(G,X)-manifold
・ (George) Clyde Fisher
・ (Get A) Grip (On Yourself)
・ (Get to) The Point
・ (GI)
・ (glutamate—ammonia-ligase) adenylyltransferase
・ (glycogen-synthase-D) phosphatase
・ (God Must Have Spent) A Little More Time on You
・ (guitar, vocal)
・ (Ha Ha) Slow Down
・ (He'll Never Be An) Ol' Man River
・ (He's a) Grunge Whore
・ (He's Got) The Look
・ (He's) The Great Imposter
・ (heparan sulfate)-glucosamine 3-sulfotransferase 1


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

(G,X)-manifold : ウィキペディア英語版
(G,X)-manifold

In mathematics, the concept of a -manifold generalizes several different kinds of manifolds, including Riemannian manifolds, affine manifolds, piecewise linear manifolds, etc.
==Definition==
Let be a group acting on a manifold via diffeomorphisms—i.e. for each g\in G, the map x\mapsto gx from to itself is a diffeomorphism. A manifold which satisfies the following conditions is called a -manifold:
# There exists an open cover \ of and a family \ of diffeomorphisms taking each to an open subset of .
# For each with nonempty intersection, there exists a g\in G such that gx=\phi_\alpha\circ\phi_\beta^(x) for all x\in V_\alpha\cap V_\beta. In other words, viewing the elements of as diffeomorphisms, each transition map \phi_\alpha\circ\phi_\beta^\colon V_\alpha\cap V_\beta\to V_\alpha\cap V_\beta is the restriction of an element of to V_\alpha\cap V_\beta.

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「(G,X)-manifold」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.