| Title:
|
Parallel and totally geodesic hypersurfaces of solvable Lie groups (English) |
| Author:
|
Nasehi, Mehri |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2016 |
| Pages:
|
221-231 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider special examples of homogeneous spaces of arbitrary odd dimension which are given in [5] and [16]. We obtain the complete classification and explicitly describe parallel and totally geodesic hypersurfaces of these spaces in both Riemannian and Lorentzian cases. (English) |
| Keyword:
|
totally geodesic |
| Keyword:
|
parallel |
| Keyword:
|
hypersurface |
| Keyword:
|
solvable Lie group |
| MSC:
|
53C30 |
| MSC:
|
53C42 |
| idZBL:
|
Zbl 06674901 |
| idMR:
|
MR3610651 |
| DOI:
|
10.5817/AM2016-4-221 |
| . |
| Date available:
|
2016-12-20T21:49:01Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145930 |
| . |
| 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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