number of downloads : ?
Title Transcription
トウシツケイ ノ ホウラク リー グン エノ ゼン ソクチテキ ウメコミ
Title Alternative (English)
Totally Geodesic Imbeddings of Homogeneous Systems into their Enveloping Lie Groups
File
language
eng
Author
Kikkawa, Michihiko
Description
The enveloping Lie group A = G x K_e of a connected analytic homogeneous system (G, η) contains a submanifold G x { 1 } which can be identified with G under the canonical imbedding. In this paper, we characterize the class of homogeneous systems imbedded totally geodesically into their enveloping Lie groups, carrying with their canonical connections. It is shown that the class of symmetric homogeneous systems and that of homogeneous systems of Lie groups are essentially the case, among K-semisimple homogeneous systems (Theorem 4).
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
18
Start Page
1
End Page
8
ISSN
03879925
Published Date
1984-12-25
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
他の一覧
このエントリーをはてなブックマークに追加