论文标题
单位球中的$ w $ cONSTANT平均曲率的完整超曲面
Complete hypersurfaces with $w$-constant mean curvature in the unit spheres
论文作者
论文摘要
在本文中，我们研究了单位球体中$ W $ cons的平均曲率的$ 4 $尺寸完整的超曲面。我们以$ 4 $维的完整超曲面和$ w $ constant平均曲率给出标态曲率的下限。作为副产品，我们在较弱的拓扑条件下给出了邓古 - 韦结果的新证明。
In this paper, we study $4$-dimensional complete hypersurfaces with $w$-constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for $4$-dimensional complete hypersurfaces with $w$-constant mean curvature. As a by-product, we give a new proof of the result of Deng-Gu-Wei under the weaker topological condition.
