A characterization of the Clifford torus

Authors
Cheng, QM Ishikawa, S
Citation
Qm. Cheng et S. Ishikawa, A characterization of the Clifford torus, P AM MATH S, 127(3), 1999, pp. 819-828
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
3
Year of publication
1999
Pages
819 - 828
Database
ISI
SICI code
0002-9939(199903)127:3<819:ACOTCT>2.0.ZU;2-P
Abstract
In this paper, we prove that an n-dimensional closed minimal hypersurface M with Ricci curvature Ric(M) greater than or equal to n/2 of a unit sphere Sn+1 (1) is isometric to a Clifford torus if n less than or equal to S less than or equal to n + 14(n+4)/9n+30, where S is the squared norm of the sec ond fundamental form of M.