| Title:
|
Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure (English) |
| Author:
|
Cabrera, Francisco Martín |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
545-563 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider almost hyper-Hermitian structures on principal fibre bundles with one-dimensional fiber over manifolds with almost contact 3-structure and study relations between the respective structures on the total space and the base. This construction suggests the definition of a new class of almost contact 3-structure, which we called trans-Sasakian, closely connected with locally conformal quaternionic Kähler manifolds. Finally we give a family of examples of hypercomplex manifolds which are not quaternionic Kähler. (English) |
| MSC:
|
53C15 |
| MSC:
|
53C25 |
| MSC:
|
53C26 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 0955.53027 |
| idMR:
|
MR1637934 |
| . |
| Date available:
|
2009-09-24T10:15:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127435 |
| . |
| Reference:
|
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| . |
