On the Curvature of the Homogeneous Space U (n+1)/U (n)
広島大学総合科学部紀要. IV, 理系編 Volume 19
Page 1-17
published_at 1993-12-31
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| File | |
| Title ( eng ) |
On the Curvature of the Homogeneous Space U (n+1)/U (n)
|
| Creator | |
| Contributors | 国立情報学研究所 |
| Source Title |
広島大学総合科学部紀要. IV, 理系編
Memoirs of the Faculty of Integrated Arts and Sciences, Hiroshima University. IV, Science reports
|
| Volume | 19 |
| Start Page | 1 |
| End Page | 17 |
| Abstract |
We determine all torsion free invariant affine connections on the homogeneous space S^<2n+1>=U(n+1)/U(n), and characterize their curvatures in terms of the polynomials of their components in the space of curvature-like tensors. The essential difference between the case n=1 and n≥2 is explained in detail from the standpoint of flat affine geometry.
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| Keywords |
affine connection
curvature
homogeneous space
invariant
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
広島大学総合科学部
|
| Date of Issued | 1993-12-31 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Date |
[Created] 2006-03-21
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| Source Identifier |
[ISSN] 1340-8364
[NCID] AN10435936
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