| Title:
|
A new class of almost complex structures on tangent bundle of a Riemannian manifold (English) |
| Author:
|
Baghban, Amir |
| Author:
|
Abedi, Esmaeil |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
137-145 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the standard almost complex structure on the tangent bunle of a Riemannian manifold will be generalized. We will generalize the standard one to the new ones such that the induced $(0,2)$-tensor on the tangent bundle using these structures and Liouville $1$-form will be a Riemannian metric. Moreover, under the integrability condition, the curvature operator of the base manifold will be classified. (English) |
| Keyword:
|
Almost complex structure |
| Keyword:
|
curvature operator |
| Keyword:
|
integrability |
| Keyword:
|
tangent bundle |
| MSC:
|
32Q60 |
| MSC:
|
58A30 |
| idZBL:
|
Zbl 07058960 |
| idMR:
|
MR3898198 |
| . |
| Date available:
|
2019-05-07T09:24:54Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147656 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
