局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理

On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space

讨论了局部对称拟常黎曼流形中常平均曲率紧致超曲面,得到了这类超曲面有关截面曲率的一个Pinching定理。

We discuss the compact hypersurface with constant mean curvature in a locallysymmetric Quasi-constant Curvature Riemannian Manifold and obtain a pinching theorem about this hypersurface.