局部共形几乎余辛流形中子流形的Ricci曲率
Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds
摘要：
得到了局部共形几乎余辛流形中具有逐点常$% ϕ$ -截面曲率的子流形的几个内蕴不变量即标量曲率、Ricci曲率和$k$-Ricci曲率，以及主要的外不变量即平方平均曲率的不等式.应用这些不等式，我们得到了关于倾斜子流形、不变子流形、反不变子流形和{ \em CR}-子流形的几个不等式.平等的情况下也进行了讨论。
英文摘要：
We obtain certain inequalities involving several intrinsic invariants namely scalar curvature, Ricci curvature and $k$-Ricci curvature, and main extrinsic invariant namely squared mean curvature for submanifolds in a locally conformal almost cosymplectic manifold with pointwise constant $% ϕ$-sectional curvature. Applying these inequalities we obtain several inequalities for slant, invariant, anti-invariant and {\em CR}-submanifolds. The equality cases are also discussed.
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