摘要
本文给出了n+p维空间形式S^(n+P)(c)中子流形M上Laplace算子特征值的一个积分不等式,并确定了M为全脐点子流形的特征。这个结果改进了Leung,P.F.的有关定理。
We establish an integral inequality of eigenvalues of Laplace operator on the compact subraanifold M immersed in the space form Sn+p(c). From this we obtain a character that M becomes a totally umbilical submani-fold. It generalizes a recent result due to Leung, P. F..
