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フルテキストURLフルテキストリンクなし
タイトルON THE SPECTRA OF SU(3)/T
作成者山口, 暁
作成者ヨミヤマグチ, サトル
作成者別表記Yamaguchi, Satoru
作成者所属山口大学教育学部
内容記述(抄録等)Let M be a compact connected Riemannian manifold and j the Laplace-Beltrami operator acting on the space of all complex-valued smooth functions on M.We denote by Spec(M)the set of all eigenvalues of ⊿, repeated according to multiplicity. For any real number r∈R,we denote by Spec(M)r the set {λ∈ Spec (M);λ≦r}. As is well known, Spec(M)determines in some case its Riemannian structure.0n one hand, there are many negative examples.Nevertheless it may be probable that Spec(M)determines in some sense its Riemannian structure.For example,the number of isometry classes with the same spectra is finite. All known negative examples are not simply connected and the above finiteness property holds (refer to a good survey by H. Urakawa [3]).So it is interesting to consider the simply connected case.The purpose of this note is to investigate Spec(Ml)r and present some information, where Ml =SU(3)/Tl.Main resuts are stated jn §1.
本文言語eng
主題自然科学
資料タイプtext
出版者山口大学教育学部
出版者ヨミヤマグチ ダイガク キョウイク ガクブ
NII資料タイプ紀要論文
ISSN0513-1693
NCIDAN00243950
学内刊行物(紀要等)山口大学教育学部研究論叢(第2部)
掲載誌名研究論叢. 自然科学
掲載誌名別表記Bulletin of the Faculty of Education, Yamaguchi University. Natural science
32
2
開始ページ1
終了ページ12
発行日1982-09
著者版/出版社版その他
リポジトリIDC020032000201
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/C020032000201