研究生学术论坛报告1:Complete hypersurfaces in a 4-dimensional Hyperbolic space

2008-03-04 来源:数学科学研究中心

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活动类型:学术报告

主讲人:Entao Zhao (赵恩涛)

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Abstract: Let M be a 3-dimensional complete hypersurface in 4-dimensional Hyperbolic space with constant sectional curvature -1. Suppose that the mean curvature and quasi-Gauss-Kronecker curvature  are constant.  We also assume that the scalar curvature is bounded from bellow. We prove that either M is totally umbilical, or isometric to one of product submanifolds of spheres and hyperbolic spaces with lower dimension.