| Title:
|
Curvature homogeneous spaces whose curvature tensors have large symmetries (English) |
| Author:
|
Tsukada, Kazumi |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
283-297 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of ``large" Lie subalgebras $\frak{h}$ of $\frak{so}(n)$. In this paper we deal with the cases of $\frak{h}=\frak{so}(r) \oplus \frak{so}(n-r)$ $(2\leq r \leq n-r)$, $\frak{so}(n-2)$, and the Lie algebras of Lie groups acting transitively on spheres, and classify such curvature homogeneous spaces or locally homogeneous spaces. (English) |
| Keyword:
|
locally homogeneous spaces |
| Keyword:
|
curvature homogeneous spaces |
| Keyword:
|
totally geodesic foliations |
| MSC:
|
53B20 |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 1090.53050 |
| idMR:
|
MR1922128 |
| . |
| Date available:
|
2009-01-08T19:22:01Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119320 |
| . |
| Reference:
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| . |
