| Title:
|
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces (English) |
| Author:
|
Wang, Yaning |
| Author:
|
Liu, Ximin |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
163-172 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new class of $(n+1)$-dimensional Lorentz spaces of index $1$ is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained. (English) |
| Keyword:
|
space-like hypersurface |
| Keyword:
|
constant scalar curvature |
| Keyword:
|
second fundamental form |
| Keyword:
|
locally symmetric Lorentz space |
| MSC:
|
53C15 |
| MSC:
|
53C42 |
| idMR:
|
MR2995869 |
| DOI:
|
10.5817/AM2012-3-163 |
| . |
| Date available:
|
2012-10-03T14:41:24Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142985 |
| . |
| 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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| . |
