Embedded positive constant r-mean curvature hypersurfaces in Mm × R
Fuente:
Redalyc
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Artículo científico |
| Langue: | en |
| Publié: |
Academia Brasileira de Ciências
2005
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1876433984061177856 |
|---|---|
| author | Harold Rosenberg |
| author_facet | Harold Rosenberg |
| contents | Embedded positive constant r-mean curvature hypersurfaces in Mm × R Harold Rosenberg Xu Cheng Multidisciplinaria (Ciencias Naturales y Exactas) hypersurface mean curvature product manifold Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m+1)-dimensional product manifold M×R with positive constant r-mean curvature. We obtain height estimates of certain compact vertical graphs in M×R with boundary in M×{0}. We apply this to obtain topological obstructions for the existence of some hypersurfaces. We also discuss the rotational symmetry of some embedded complete surfaces in S2×R of positive constant 2-mean curvature. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777201 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.77 |
| format | Artículo científico |
| id | redalyc_32777201 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Embedded positive constant r-mean curvature hypersurfaces in Mm × R Harold Rosenberg Multidisciplinaria (Ciencias Naturales y Exactas) hypersurface mean curvature product manifold Embedded positive constant r-mean curvature hypersurfaces in Mm × R Harold Rosenberg Xu Cheng Multidisciplinaria (Ciencias Naturales y Exactas) hypersurface mean curvature product manifold Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m+1)-dimensional product manifold M×R with positive constant r-mean curvature. We obtain height estimates of certain compact vertical graphs in M×R with boundary in M×{0}. We apply this to obtain topological obstructions for the existence of some hypersurfaces. We also discuss the rotational symmetry of some embedded complete surfaces in S2×R of positive constant 2-mean curvature. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777201 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.77 |
| title | Embedded positive constant r-mean curvature hypersurfaces in Mm × R |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) hypersurface mean curvature product manifold |
| url | https://www.redalyc.org/articulo.oa?id=32777201 |