ファイル情報(添付) | |
タイトル |
球面上のベクトル束へのS^1-作用
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タイトル |
S^1-Actions on Vector Bundles over Spheres
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タイトル 読み |
キュウメン ジョウ ノ ベクトル ソク エノ S1 サヨウ
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著者 |
松永 弘道
|
収録物名 |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
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巻 | 17 |
開始ページ | 15 |
終了ページ | 21 |
収録物識別子 |
ISSN 03879925
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内容記述 |
抄録・要旨
In the previous papers [6], [7] and [8], we studied some group actions on sphere bundles over spheres and proved some non existence theorems. In this paper, we shall study S^1 -vector bundle structures on vector bundles over sphercs. We shall fix a representation of S^1 on the fiber over the north pole.
Section 1 provides some preliminaries and we shall prove some classification theorems for S^1-vector bundles with a designated action on the fibre over the north pole (Theorem 1 and Theorem 2). As a corollary, we shall obtain a non existence theorem. In seotion 2, we shall construct two kinds of lifting actions. One of them is a lifting of a linear action on a sphere and the other is a lifting of a quasi linear action. In the last section, we shall show that some action on a sphere bundle over a sphere can not be derived from an S^1-vector bundle with a specified action on the fibre over the north pole. |
言語 |
英語
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資源タイプ | 紀要論文 |
出版者 |
島根大学理学部
The Faculty of Science, Shimane University
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発行日 | 1983-12-25 |
アクセス権 | オープンアクセス |
関連情報 |
[NCID] AN00108106
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