期刊论文

Deng Qintao

英文

数学物理学报

1003-3998

2011

31

1

353-360

10.1016/S0252-9602(11)60235-X

∗Received April 23, 2009; revised October 20, 2009. Research was supported by NSFC (10901067) partially supported by NSFC (10801058) and Hubei Key Laboratory of Mathematical Sciences

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In this article,we prove that any complete finite index hypersurface in the hyperbolic space H4(-1)(H5(-1))with constant mean curvature H satisfying H 2>6463(H~2>175148respectively)must be compact. Specially,we verify that any complete and stable hypersurface in the hyperbolic space H~4(-1)(resp. H~5(-1))with constant mean curvature H satisfying H~2>6463(resp. H2>175148)must be compact. It shows that there is no manifold ...

在这篇文章，我们在夸张空间证明那是任何完全的有限索引 hypersurface 4 (? 1 ) 5 (? 1 )) 与经常的吝啬的弯曲 H 令人满意的 H2 (H2 > 分别地) 一定紧缩。特殊，我们在夸张空间验证完全的那个任何东西和稳定的 hypersurface 4 (? 1 )( 分别地 5 (? 1 )) 与经常的吝啬的弯曲 H 令人满意的 H2 >( 分别地 H2 ) 一定紧缩。它证明有不歧管令人满意一些定理在的条件[7， 9 ] 。