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- 2017
具有半对称度量联络的广义Sasakian空间形式中的子流形的Chen-Ricci不等式
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Abstract:
摘要： 建立了具有半对称度量联络的广义Sasakian空间形式中关于子流形的Chen-Ricci不等式。 这些不等式刻画了子流形关于半对称度量联络的内在不变量(Ricci曲率)、k-Ricci曲率与外在不变量(平均曲率平方‖H‖2)之间的关系。
Abstract: We establish Chen-Ricci inequalities for submanifolds of generalized Sasakian space forms endowed with a semi-symmetric metric connection. These inequalities give relationships between the squared mean curvature and certain intrinsic invariants involving the Ricci curvature and the k-Ricci curvature with respect to the induced semi-symmetric metric connection of submanifolds
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