| Title:
|
Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$ (English) |
| Author:
|
Wei, Guoxin |
| Author:
|
Liu, Qiuli |
| Author:
|
Suh, Young Jin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
343-351 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we study closed $k$-maximal spacelike hypersurfaces $M^n$ in anti-de Sitter space $H_1^{n+1}(-1)$ with two distinct principal curvatures and give some integral formulas about these hypersurfaces. (English) |
| Keyword:
|
anti-de Sitter space |
| Keyword:
|
$k$th mean curvature |
| Keyword:
|
Gauss equations |
| MSC:
|
53B30 |
| MSC:
|
53C40 |
| MSC:
|
53C42 |
| MSC:
|
53C50 |
| MSC:
|
53Z05 |
| idZBL:
|
Zbl 1224.53038 |
| idMR:
|
MR2532379 |
| . |
| Date available:
|
2010-07-20T15:11:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140484 |
| . |
| 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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[10] Perdomo, O.: Rigidity of minimal hypersurfaces of spheres with two principal curvatures.Arch. Math. 82 (2004), 180-184. Zbl 1062.53055, MR 2047672, 10.1007/s00013-003-4834-6 |
| Reference:
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| Reference:
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| . |
