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https://repositorio.ufba.br/handle/ri/14095
metadata.dc.type: | Artigo de Periódico |
Title: | A lower bound for the norm of the second fundamental form of minimal hypersurfaces of Sn+1 |
Other Titles: | Archiv der Mathematik |
Authors: | Barbosa, José Nelson Bastos Barros, A. |
metadata.dc.creator: | Barbosa, José Nelson Bastos Barros, A. |
Abstract: | The aim of this paper is to give an estimate for the squared norm S of the second fundamental form A of a compact minimal hypersurface Mn⊂Sn+1 in terms of the gap n−λ1 , where λ1 stands for the first eigenvalue of the Laplacian of M. More precisely we will show that there exists a constant k≥nn−1 such that S≥kn−1n(n−λ1). |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14095 |
Issue Date: | 2003 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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J. N. Barbosa.pdf | 90,4 kB | Adobe PDF | View/Open |
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