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Title Transcription
キュウメン ジョウ ノ ベクトル ソク エノ S1 サヨウ
Title Alternative (English)
S^1-Actions on Vector Bundles over Spheres
File
language
eng
Author
Matsunaga, Hiromichi
Description
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.
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
17
Start Page
15
End Page
21
ISSN
03879925
Published Date
1983-12-25
NCID
AN00108106
Publisher
島根大学理学部
Publisher Aalternative
The Faculty of Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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