Bochner Kaehler流形中子流形的Casorati曲率不等式

Inequalities for Casorati Curvatures of Submanifolds in a Bochner Kaehler Manifold

利用一个新的代数不等式,对Bochner Kaehler流形中的子流形建立两个关于广义标准δ-Casorati曲率的不等式,并给出子流形的标准数量曲率与外在不变量Casorati曲率之间的关系.

By using a new algebraic inequality,we established two inequalities for generalized normalized Casorati curvatures of submanifolds in a Bochner Kaehler manifold,which gave relationships between the normalized scalar curvatures and the extrinsic invariants Casorati curvatures of submanifolds.