| Title:
|
Riemannian manifolds in which certain curvature operator has constant eigenvalues along each helix (English) |
| Author:
|
Alexieva, Yana |
| Author:
|
Ivanov, Stefan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
129-140 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures $r_1 = r_2 = 0, r_3 \ne 0$, which are not locally homogeneous, in general. (English) |
| Keyword:
|
helix |
| Keyword:
|
constant eigenvalues of the curvature operator |
| Keyword:
|
locally symmetric spaces |
| Keyword:
|
curvature homogeneous spaces |
| MSC:
|
53C15 |
| MSC:
|
53C20 |
| MSC:
|
53C21 |
| MSC:
|
53C22 |
| idZBL:
|
Zbl 1054.53058 |
| idMR:
|
MR1711665 |
| . |
| Date available:
|
2008-06-06T22:22:49Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107689 |
| . |
| Reference:
|
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