Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature
The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de Sitter space S1n+1 must be a sphere.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/19545 |
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| _version_ | 1832549286718472192 |
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| author | Kairen Cai Huiqun Xu |
| author_facet | Kairen Cai Huiqun Xu |
| author_sort | Kairen Cai |
| collection | DOAJ |
| description | The authors apply the generalized Minkowski formula to set up a
spherical theorem. It is shown that a compact connected
hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de
Sitter space S1n+1 must be a sphere. |
| format | Article |
| id | doaj-art-11f0c7174baf44a89f4f7aa51ad27180 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-11f0c7174baf44a89f4f7aa51ad271802025-02-03T06:11:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1954519545Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvatureKairen Cai0Huiqun Xu1Department of Mathematics, Hangzhou Teachers College, 222 Wen Yi Road, Hangzhou 310036, ChinaDepartment of Mathematics, Hangzhou Teachers College, 222 Wen Yi Road, Hangzhou 310036, ChinaThe authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de Sitter space S1n+1 must be a sphere.http://dx.doi.org/10.1155/IJMMS/2006/19545 |
| spellingShingle | Kairen Cai Huiqun Xu Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature International Journal of Mathematics and Mathematical Sciences |
| title | Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature |
| title_full | Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature |
| title_fullStr | Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature |
| title_full_unstemmed | Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature |
| title_short | Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature |
| title_sort | spacelike hypersurfaces in de sitter space with constant higher order mean curvature |
| url | http://dx.doi.org/10.1155/IJMMS/2006/19545 |
| work_keys_str_mv | AT kairencai spacelikehypersurfacesindesitterspacewithconstanthigherordermeancurvature AT huiqunxu spacelikehypersurfacesindesitterspacewithconstanthigherordermeancurvature |