| Title:
|
The Jordan normal form of higher order Osserman algebraic curvature tensors (English) |
| Author:
|
Gilkey, Peter |
| Author:
|
Ivanova, Raina |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
231-242 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct new examples of algebraic curvature tensors so that the Jordan normal form of the higher order Jacobi operator is constant on the Grassmannian of subspaces of type $(r,s)$ in a vector space of signature $(p,q)$. We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors. (English) |
| Keyword:
|
higher order Jacobi operator |
| Keyword:
|
Osserman algebraic curvature tensors |
| Keyword:
|
Jordan Osserman algebraic curvature tensors |
| MSC:
|
53B20 |
| idZBL:
|
Zbl 1090.53022 |
| idMR:
|
MR1922124 |
| . |
| Date available:
|
2009-01-08T19:21:29Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119316 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
