| Title:
|
Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles (English) |
| Author:
|
Druţă-Romaniuc, Simona-Luiza |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
937-949 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. Studying the compatibility and the anti-compatibility relations between the determined structures and a natural diagonal metric, we find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. Finally, we prove the characterization theorem for the natural diagonal (almost) para-Kählerian structures on the total space of the cotangent bundle. (English) |
| Keyword:
|
natural lift |
| Keyword:
|
cotangent bundle |
| Keyword:
|
almost product structure |
| Keyword:
|
para-Hermitian structure |
| Keyword:
|
para-Kähler structure |
| MSC:
|
53C05 |
| MSC:
|
53C15 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 1274.53040 |
| idMR:
|
MR3010249 |
| DOI:
|
10.1007/s10587-012-0075-9 |
| . |
| Date available:
|
2012-11-10T21:33:04Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143037 |
| . |
| Reference:
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