关于近拟常曲率空间具有常平均曲率超曲面

On the Hypersurfaces with Constant Mean Curvature in a Nearly Quast Constant Curvature Space

研究了近拟常曲率空间中具有常平均曲率的紧致超曲面,得到了这类超曲面关于其第二基本形式模长平方S的J.Simons型积分不等式。

Let Mn be a compact hypersurfaces with constant mean curvature immersed in a(n+1)-dimensional Riemannian manifolds Nn+1 of nearly quasi constant curvature.In this paper,we obtain integral inequality for the length square of the second fundamental form of Mn.