Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold
In this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.<br>Neste trabalho nós generalizamos e estendemos para uma variedade Riemanniana arbitrária princípios do máximo para hip...
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| Format: | Article |
| Language: | English |
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Academia Brasileira de Ciências
2002-06-01
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| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000200002 |
| _version_ | 1818306938617724928 |
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| author | FRANCISCO X. FONTENELE SÉRGIO L. SILVA |
| author_facet | FRANCISCO X. FONTENELE SÉRGIO L. SILVA |
| author_sort | FRANCISCO X. FONTENELE |
| collection | DOAJ |
| description | In this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.<br>Neste trabalho nós generalizamos e estendemos para uma variedade Riemanniana arbitrária princípios do máximo para hipersuperfícies com r-ésima curvatura média zero no espaço Euclidiano, obtidos por Hounie-Leite. |
| first_indexed | 2024-12-13T06:50:26Z |
| format | Article |
| id | doaj.art-c05076f2f93147e69b671c6720e94df5 |
| institution | Directory Open Access Journal |
| issn | 0001-3765 1678-2690 |
| language | English |
| last_indexed | 2024-12-13T06:50:26Z |
| publishDate | 2002-06-01 |
| publisher | Academia Brasileira de Ciências |
| record_format | Article |
| series | Anais da Academia Brasileira de Ciências |
| spelling | doaj.art-c05076f2f93147e69b671c6720e94df52022-12-21T23:56:10ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências0001-37651678-26902002-06-0174219920510.1590/S0001-37652002000200002Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifoldFRANCISCO X. FONTENELESÉRGIO L. SILVAIn this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.<br>Neste trabalho nós generalizamos e estendemos para uma variedade Riemanniana arbitrária princípios do máximo para hipersuperfícies com r-ésima curvatura média zero no espaço Euclidiano, obtidos por Hounie-Leite.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000200002princípio do máximohipersuperfícier-ésima curvatura médiamaximum principlehypersurfacerth mean curvature |
| spellingShingle | FRANCISCO X. FONTENELE SÉRGIO L. SILVA Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold Anais da Academia Brasileira de Ciências princípio do máximo hipersuperfície r-ésima curvatura média maximum principle hypersurface rth mean curvature |
| title | Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold |
| title_full | Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold |
| title_fullStr | Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold |
| title_full_unstemmed | Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold |
| title_short | Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold |
| title_sort | maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary riemannian manifold |
| topic | princípio do máximo hipersuperfície r-ésima curvatura média maximum principle hypersurface rth mean curvature |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000200002 |
| work_keys_str_mv | AT franciscoxfontenele maximumprinciplesforhypersurfaceswithvanishingcurvaturefunctionsinanarbitraryriemannianmanifold AT sergiolsilva maximumprinciplesforhypersurfaceswithvanishingcurvaturefunctionsinanarbitraryriemannianmanifold |