| 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
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| Title Alternative (English) | Totally Geodesic Imbeddings of Homogeneous Systems into their Enveloping Lie Groups
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| File | |
| language |
eng
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| Author |
Kikkawa, Michihiko
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| 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).
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| Journal Title |
Memoirs of the Faculty of Science, Shimane University
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| Volume | 18
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| Start Page | 1
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| End Page | 8
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| ISSN | 03879925
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| Published Date | 1984-12-25
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| NCID | AN00108106
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| Publisher | 島根大学理学部
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| Publisher Aalternative | The Faculty of Science, Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
