【摘 要】
：
Let Mn be an n-dimensional complete connected and oriented hypersurface in a hyperbolic space Hn+1(c) with non-zero constant mean curvature H and two distinct p
【机 构】
：
Department of Science,Department of Mathematics
【基金项目】
：
NSF of Shaanxi Province;NSF of Shaanxi Educational Committee;Talent Fund of Xi’an University of Architecture and Technology
论文部分内容阅读
Let Mn be an n-dimensional complete connected and oriented hypersurface in a hyperbolic space Hn+1(c) with non-zero constant mean curvature H and two distinct principal curvatures. In this paper, we show that (1) if the multiplicities of the two distinct principal curvatures are greater than 1, then Mn is isometric to the Riemannian product Sk(r)×Hn-k(-1/(r2+ρ2)), where r>0 and 10, if one of the following conditions is satisfied (i) S≤=(n-1)t22+c2t2-2 on Mn or (ii) S≥(n-1)t12+c2t1-2 on Mn or (iii) (n-1)t22+c2t22≤S≤(n-1)t12+c2t1-2 on Mn, where t1 and t2 are t2 are the positive real roots of (1.5).
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