On complete spacelike hypersurfaces with constant scalar curvature in the De Sitter Space
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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2000
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| _version_ | 1876443637860007936 |
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| author | Aldir Brasil |
| author_facet | Aldir Brasil |
| contents | On complete spacelike hypersurfaces with constant scalar curvature in the De Sitter Space Aldir Brasil A. Gervasio Colares Multidisciplinaria (Ciencias Naturales y Exactas) de Sitter space hyperbolic cylinder spacelike hypersurfaces Let Mn be a complete spacelike hypersurface with constant normalized scalar curvature R inthe de Sitter Space Sn+11 . Let H the mean curvature and suppose that R = (R − 1) > 0 andR ≤ supH2 ≤ CR, where CR is a constant depending only on R and n. It is proved that eithersupH2 = R and Mn is totally umbilical, or supH2 = CR and Mn is the hyperbolic cylinderH1(1 − coth2 r) × Sn−1(1 − tanh2 r). 2000 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32772401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.72 |
| format | Artículo científico |
| id | redalyc_32772401 |
| institution | Redalyc |
| language | en |
| publishDate | 2000 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | On complete spacelike hypersurfaces with constant scalar curvature in the De Sitter Space Aldir Brasil Multidisciplinaria (Ciencias Naturales y Exactas) de Sitter space hyperbolic cylinder spacelike hypersurfaces On complete spacelike hypersurfaces with constant scalar curvature in the De Sitter Space Aldir Brasil A. Gervasio Colares Multidisciplinaria (Ciencias Naturales y Exactas) de Sitter space hyperbolic cylinder spacelike hypersurfaces Let Mn be a complete spacelike hypersurface with constant normalized scalar curvature R inthe de Sitter Space Sn+11 . Let H the mean curvature and suppose that R = (R − 1) > 0 andR ≤ supH2 ≤ CR, where CR is a constant depending only on R and n. It is proved that eithersupH2 = R and Mn is totally umbilical, or supH2 = CR and Mn is the hyperbolic cylinderH1(1 − coth2 r) × Sn−1(1 − tanh2 r). 2000 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32772401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.72 |
| title | On complete spacelike hypersurfaces with constant scalar curvature in the De Sitter Space |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) de Sitter space hyperbolic cylinder spacelike hypersurfaces |
| url | https://www.redalyc.org/articulo.oa?id=32772401 |