【摘要】 证明了截面曲率有界的 Riemann流形中闭子流形的一个广义 Simons型积分不等式 ,其次建立了 S,|H|,| ⊥ H|与闭子流形特征的一个关系 ,结论推广了 Chern[1 ] ,Li[2 ]和 Xu[3 ]中相应的结果 .更多还原

【Abstract】 In this paper, we first prove a generalized Simons integral inequality for closed submanifolds in a Riemannian manifold with bounded sectional cruvature. Second, we construct the relation of S, |H|, | ⊥H| with the character of the closed submanifold, which generalizes the corresponding results of Chern [1] , Li [2] and Xu [3] .更多还原