Shichang Shu

Annie Yi Han1
1Annie Yi Han
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Let M be an n(n ≥ 3)-dimensional complete connected hyper-surface in a unit sphere S n+1 (1). In this paper, we show that (1) if M has non-zero mean curvature and constant scalar curvature n(n − 1)r and two distinct principal curvatures, one of which is simple, then M is isometric to the Riemannian product S 1 (√ 1 − c 2) × S n−1 (c), c 2 = n−2 nr if r ≥(More)
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