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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 Picard horn ： ウィキペディア英語版 Picard horn A Picard horn, also called the Picard topology or Picard model, is one of the oldest known hyperbolic 3-manifolds, first described by Émile Picard〔http://www.academie-sciences.fr/activite/archive/dossiers/Picard/Picard_oeuvre.htm〕 in 1884. The manifold is the quotient of the upper half-plane model of hyperbolic 3-space by the projective special linear group, $\backslash operatorname\_2(\backslash mathbf())$. It was proposed as a model for the shape of the Universe in 2004.〔 The term "horn" is due to pseudosphere models of hyperbolic space. == Geometry and topology == A modern description, in terms of fundamental domain and identifications, can be found in section 3.2, page 63 of Grunewald and Huntebrinker, along with the first 80 eigenvalues of the Laplacian, tabulated on page 72, where $\backslash Upsilon\_1$ is a fundamental domain of the Picard space.〔Fritz Grunewald and Wolfgang Huntebrinker, ''(A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp )'', Experiment. Math. Volume 5, Issue 1 (1996), 57-80〕 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「Picard horn」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.