Rigidity Theorems of Clifford Torus
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Academia Brasileira de Ciências
2001
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| _version_ | 1876483667531923456 |
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| author | Luiz A. M. Sousa |
| author_facet | Luiz A. M. Sousa |
| contents | Rigidity Theorems of Clifford Torus Luiz A. M. Sousa Multidisciplinaria (Ciencias Naturales y Exactas) Clifford Torus scalar curvature principal curvatures minimal hypersurfaces Let M be an n-dimensional closed minimally immersed hypersurface in the unit sphere Sn+1.Assume in addition that M has constant scalar curvature or constant Gauss-Kronecker curvature.In this note we announce that ifM has (n−1) principal curvatures with the same sign everywhere,then M is isometric to a Clifford Torus S11n × Sn−1n−1n . 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773303 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.3 Vol.73 |
| format | Artículo científico |
| id | redalyc_32773303 |
| institution | Redalyc |
| language | en |
| publishDate | 2001 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Rigidity Theorems of Clifford Torus Luiz A. M. Sousa Multidisciplinaria (Ciencias Naturales y Exactas) Clifford Torus scalar curvature principal curvatures minimal hypersurfaces Rigidity Theorems of Clifford Torus Luiz A. M. Sousa Multidisciplinaria (Ciencias Naturales y Exactas) Clifford Torus scalar curvature principal curvatures minimal hypersurfaces Let M be an n-dimensional closed minimally immersed hypersurface in the unit sphere Sn+1.Assume in addition that M has constant scalar curvature or constant Gauss-Kronecker curvature.In this note we announce that ifM has (n−1) principal curvatures with the same sign everywhere,then M is isometric to a Clifford Torus S11n × Sn−1n−1n . 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773303 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.3 Vol.73 |
| title | Rigidity Theorems of Clifford Torus |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Clifford Torus scalar curvature principal curvatures minimal hypersurfaces |
| url | https://www.redalyc.org/articulo.oa?id=32773303 |