若某向量模数等于研究点处给定曲线的曲率，而该向量的方向与该点处曲线的主法线方向相同，则称该向量为曲率向量。
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
本文将着重研究更为一般的具有平行单位平均曲率向量子流形的有关几何问题。
In the present paper, we mainly study the codimension reduction problems for submanifolds with parallel unit mean curvature vector in a sphere.
研究了拟常曲率流形中具有平行平均曲率向量的子流形，给出了两个积分不等式。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
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