| Title:
|
Pseudo-Riemannian weakly symmetric manifolds of low dimension (English) |
| Author:
|
Zhang, Bo |
| Author:
|
Chen, Zhiqi |
| Author:
|
Deng, Shaoqiang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
3 |
| Year:
|
2019 |
| Pages:
|
811-835 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a classification of pseudo-Riemannian weakly symmetric manifolds in dimensions $2$ and $3$, based on the algebraic approach of such spaces through the notion of a pseudo-Riemannian weakly symmetric Lie algebra. We also study the general symmetry of reductive $3$-dimensional pseudo-Riemannian weakly symmetric spaces and particularly prove that a $3$-dimensional reductive $2$-fold symmetric pseudo-Riemannian manifold must be globally symmetric. (English) |
| Keyword:
|
pseudo-Riemannian manifold |
| Keyword:
|
pseudo-Riemannian weakly symmetric manifold |
| Keyword:
|
pseudo-Riemannian weakly symmetric Lie algebra |
| Keyword:
|
Lorentzian weakly symmetric manifold |
| MSC:
|
22E46 |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 07088818 |
| idMR:
|
MR3989280 |
| DOI:
|
10.21136/CMJ.2019.0515-17 |
| . |
| Date available:
|
2019-07-24T11:19:52Z |
| Last updated:
|
2021-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147791 |
| . |
| 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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| . |
