| Title:
|
From Sasakian 3-structures to quaternionic geometry (English) |
| Author:
|
Watanabe, Yoshiyuki |
| Author:
|
Mori, Hiroshi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
379-386 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct a family of almost quaternionic Hermitian structures from an almost contact metric 3-structure and also do three kinds of quaternionic Kähler structures from a Sasakian 3-structure. In particular we have a generalization of the second main result of Boyer-Galicki-Mann [5]. (English) |
| Keyword:
|
almost contact metric 3-structure |
| Keyword:
|
Sasakian 3-structure |
| Keyword:
|
almost quaternionic Hermitian manifold |
| Keyword:
|
quaternionic Kähler manifold |
| Keyword:
|
hyperkähler manifold |
| MSC:
|
53C25 |
| MSC:
|
53C26 |
| idZBL:
|
Zbl 0966.53032 |
| idMR:
|
MR1662052 |
| . |
| Date available:
|
2009-02-17T10:14:34Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107664 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Boyer C. P., Galicki K., Mann B. M.: Quaternionic reduction and Einstein manifolds.Comm. Anal. Geom. 1(2)(1993) 229-279. Zbl 0856.53038, MR 1243524 |
| 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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| 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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| . |
