| Title:
|
New hyper-Käahler structures on tangent bundles (English) |
| Author:
|
Qi, Xuerong |
| Author:
|
Cao, Linfen |
| Author:
|
Li, Xingxiao |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
13-30 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(M,g,J)$ be an almost Hermitian manifold, then the tangent bundle $TM$ carries a class of naturally defined almost hyper-Hermitian structures $(G,J_1,J_2,J_3)$. In this paper we give conditions under which these almost hyper-Hermitian structures $(G,J_1,J_2,J_3)$ are locally conformal hyper-Kähler. As an application, a family of new hyper-\kr structures is obtained on the tangent bundle of a complex space form. Furthermore, by restricting these almost hyper-Hermitian structures on the unit tangent sphere bundle $T_1 M$, we obtain a class of almost contact metric 3-structures. By virtue of these almost contact metric 3-structures, we find a family of Sasakian 3-structures on the unit tangent sphere bundle of a complex space form of positive holomorphic sectional curvature. (English) |
| Keyword:
|
tangent bundles |
| Keyword:
|
locally conformal hyper-Kähler structures |
| Keyword:
|
almost contact metric 3-structures |
| Keyword:
|
Sasakian 3-structures |
| MSC:
|
53C15 |
| MSC:
|
53C26 |
| idZBL:
|
Zbl 06359720 |
| idMR:
|
MR3233724 |
| . |
| Date available:
|
2014-08-27T08:53:03Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143903 |
| . |
| Reference:
|
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