| Title:
|
H-anti-invariant submersions from almost quaternionic Hermitian manifolds (English) |
| Author:
|
Park, Kwang-Soon |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
557-578 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples of such maps. Finally, we obtain some types of decomposition theorems. (English) |
| Keyword:
|
Riemannian submersion |
| Keyword:
|
Lagrangian Riemannian submersion |
| Keyword:
|
decomposition theorem |
| Keyword:
|
totally geodesic |
| MSC:
|
53C15 |
| MSC:
|
53C26 |
| idZBL:
|
Zbl 06738539 |
| idMR:
|
MR3661061 |
| DOI:
|
10.21136/CMJ.2017.0143-16 |
| . |
| Date available:
|
2017-06-01T14:33:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146776 |
| . |
| Reference:
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