在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。

The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.

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本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。

Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.

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本文研究了伪黎曼空间型中具有常平均曲率的类空子流形，得到了这类空子流形的一个积分不等式及刚性定理。

This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.

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