| File | |
| Title |
等質系の包絡リー群への全測地的埋込み
|
| Title |
Totally Geodesic Imbeddings of Homogeneous Systems into their Enveloping Lie Groups
|
| 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
|
| Creator |
Kikkawa Michihiko
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 18 |
| Start Page | 1 |
| End Page | 8 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
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).
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1984-12-25 |
| Access Rights | open access |
| Relation |
[NCID] AN00108106
|
