| Title:
|
New Einstein metrics on ${\rm Sp}(n)$ which are non-naturally reductive (English) |
| Author:
|
Zhang, Shaoxiang |
| Author:
|
Chen, Huibin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
349-363 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that there are at least two new non-naturally reductive ${\rm Ad}({\rm Sp}(l)\times {\rm Sp}(k)\times {\rm Sp}(k)\times {\rm Sp}(k))$ invariant Einstein metrics on ${\rm Sp} (l+3k)$ $(k < l)$. It implies that every compact simple Lie group ${\rm Sp} (n)$ for $n= l+3k>4$ admits at least $2[\tfrac 14 (n-1)]$ non-naturally reductive ${\rm Ad}({\rm Sp}(l)\times {\rm Sp}(k)\times {\rm Sp}(k)\times {\rm Sp}(k))$ invariant Einstein metrics. (English) |
| Keyword:
|
Einstein metric |
| Keyword:
|
non-naturally reductive metric |
| Keyword:
|
compact Lie group |
| Keyword:
|
symplectic group |
| MSC:
|
53C25 |
| MSC:
|
53C30 |
| MSC:
|
65H10 |
| idZBL:
|
Zbl 07547208 |
| idMR:
|
MR4412763 |
| DOI:
|
10.21136/CMJ.2021.0491-20 |
| . |
| Date available:
|
2022-04-21T18:59:13Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150405 |
| . |
| Reference:
|
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