On Conformal Transformations and Fibred Riemannian Spaces
広島大学総合科学部紀要. IV, 理系編 Volume 27
Page 129-133
published_at 2001-12
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| File | |
| Title ( eng ) |
On Conformal Transformations and Fibred Riemannian Spaces
|
| Title ( jpn ) |
共形変換とファイバーリーマン空間について
|
| Creator |
Kim Byung Hak
|
| 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 | 27 |
| Start Page | 129 |
| End Page | 133 |
| Abstract |
We prove that a conformal transformation φ : (M, g^*)→(M, g) with Ric_g^*=Ric_g preserves Riemannian curvature tensors. Moreover, in a fibred Riemannian space, if any horizontal mapping covering is a Ricciinvariant conformal transformation and the total space is Einstein, then each fibre is a totally geodesic submanifold of the total space.
|
| Keywords |
Conformal transformation
fibred Riemannian space
Lie derivative
|
| NDC |
Mathematics [ 410 ]
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
広島大学総合科学部
|
| Date of Issued | 2001-12 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Date |
[Created] 2006-03-21
|
| Source Identifier |
[ISSN] 1340-8364
[NCID] AN10435936
|
