研究生学术论坛报告1:Complete hypersurfaces in a 4-dimensional Hyperbolic space
2008-03-04 来源:数学科学研究中心活动地点:
活动类型:学术报告
主讲人:Entao Zhao (赵恩涛)
活动时间:
活动内容:
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.