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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.
Issue Date: 2003
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).
Description: Texto completo: acesso restrito. p. 478-484
URI: http://repositorio.ufba.br/ri/handle/ri/14095
ISSN: 0003-889X
Appears in Collections:Artigos Publicados em Periódicos (IM)

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