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| Format: | Artículo científico |
| Language: | en |
| Published: |
Academia Brasileira de Ciências
2006
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32778201 |
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| _version_ | 1866811635768754176 |
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| author | Xu Cheng |
| author_facet | Xu Cheng |
| contents | The structure of weakly stable minimal hypersurfaces Xu Cheng Leung-Fu Cheung Detang Zhou Multidisciplinaria (Ciencias Naturales y Exactas) ends weak stability minimal hypersurfaces In this short communication, we announce results from our research on the structure of completenoncompact oriented weakly stable minimal hypersurfaces in a manifold of nonnegative sectionalcurvature. In particular, a complete oriented weakly stable minimal hypersurface in Rm,m ≥ 4,must have only one end; any complete noncompact oriented weakly stable minimal hypersurfacehas only one end if the complete oriented ambient manifold Nm,m ≥ 7, has nonnegative sectionalcurvature and Ricci curvature bounded below by a positive constant; a complete oriented weaklystable minimal hypersurface in Rm,m ≥ 4, with finite total scalar curvature is a hyperplane. 2006 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32778201 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.2 Vol.78 |
| format | Artículo científico |
| id | redalyc_32778201 |
| language | en |
| publishDate | 2006 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | The structure of weakly stable minimal hypersurfaces Xu Cheng Multidisciplinaria (Ciencias Naturales y Exactas) ends weak stability minimal hypersurfaces The structure of weakly stable minimal hypersurfaces Xu Cheng Leung-Fu Cheung Detang Zhou Multidisciplinaria (Ciencias Naturales y Exactas) ends weak stability minimal hypersurfaces In this short communication, we announce results from our research on the structure of completenoncompact oriented weakly stable minimal hypersurfaces in a manifold of nonnegative sectionalcurvature. In particular, a complete oriented weakly stable minimal hypersurface in Rm,m ≥ 4,must have only one end; any complete noncompact oriented weakly stable minimal hypersurfacehas only one end if the complete oriented ambient manifold Nm,m ≥ 7, has nonnegative sectionalcurvature and Ricci curvature bounded below by a positive constant; a complete oriented weaklystable minimal hypersurface in Rm,m ≥ 4, with finite total scalar curvature is a hyperplane. 2006 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32778201 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.2 Vol.78 |
| title | The structure of weakly stable minimal hypersurfaces |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) ends weak stability minimal hypersurfaces |
| url | https://www.redalyc.org/articulo.oa?id=32778201 |