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Title Transcription
トウシツケイ ニツイテ 2
Title Alternative (English)
On Homogeneous Systems(II)
File
language
eng
Author
Kikkawa, Michihiko
Description
The relations between the properties of analytic homogeneous systems on manifolds and those of their tangent Lie triple algebras are investigated in this paper, by using the results obtained in the preceding paper [2]. It is shown that an isomorphism class of Lie triple algebras corresponds to each isomorphism class of simply connected homogeneous systems (Theorem 2.2). After constructing a universal covering system of a homogeneous system (Theorem 3.1), we show the decomposition theorem of simply connected homogeneous systems (Theorem 4.2). Sorne particular cases are treated in which the homogeneous system is reduced to that of a Lie group, or reduced to a symmetric space (Theorems 1.1 and 1 .3).
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
12
Start Page
5
End Page
13
ISSN
03879925
Published Date
1978-12-20
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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