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metadata.dc.type: | Artigo de Periódico |
Title: | Hypersurfaces of sn+1 with two distinct principal curvatures |
Other Titles: | Glasgow Mathematical Journal |
Authors: | Barbosa, José Nelson Bastos |
metadata.dc.creator: | Barbosa, José Nelson Bastos |
Abstract: | The aim of this paper is to prove that the Ricci curvature RicM of a complete hypersurface Mn, n≥3, of the Euclidean sphere Sn+1, with two distinct principal curvatures of multiplicity 1 and n−1, satisfies supRicM≥inff(H), for a function\, f depending only on n and the mean curvature H. Supposing in addition that Mn is compact, we will show that the equality occurs if and only if H is constant and Mn is isometric to a Clifford torus Sn−1(r)×S1(1−r2−−−−−√). |
Publisher: | Cambridge University Press |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6648 |
Issue Date: | 2005 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
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