【摘要】 设Nn+p(c)为n+p维的常曲率空间,Mn为Nn+p(c)中的n维紧致极小子流形,Yau得到了一个Simons不等式相对应的结论,本文将常曲率空间的类似问题推广到局部对称空间中,得到了两个主要定理.更多还原

【Abstract】 Let Mn be an n-dimensional compact minimal submanifold immersed in a manifold Nn+pwith constant curvature c.Yau obtains an inequality opposite to that of Simons.In this paper,the similar problems in space of constant curvature are popularized in the space of locally symmetry.更多还原