球面S^(n+1)(c)中的超曲面

Hypersurfaces in Sphere S^(n+1)(c)

利用柯西不等式给出了球面中超曲面内蕴量Ricci曲率和数量曲率之间的一个不等式,从而得到球面中超曲面的一个pinching定理.

By using Cauchy inequality,an intrinsic inequality between Ricci curvature and scalar curvature for hypersurfaces in a sphere is obtained, and a pinching theorem is given for such hypersurfaces.