科研之友
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摘要
Let M-n be a closed hypersurface in the unit sphere Sn+1. Denote by \h\(2) and H the square of the length of its second fundamental form and the mean curvature, respectively, suppose that \delh\(2) > n(2)\delH\(2). If \h\(2) < 2rootn-1, M-n is a small hypersphere in Sn+1. We also characterize all M-n with \h\(2) = 2rootn-1 . When Mn has constant mean curvature, it is just the result of Hou [3].
- 出版日期2002-2
- 单位大连理工大学
