curvature vector

Totally real submanifolds with parallel mean curvature vector in cp~ n

CP~n中具有平行中曲率向量的全实子流形

In this paper, some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained. We also prove that a compact totally real submanifold with positive curvature and parallel mean curvature vector of a complex projective space must be pseudo-umbilical.

获得了复射影空间中全实全脐子流形的若干性质，并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的。

A special kind of unabridged end conditions like wing is used in the interpolation of curves, it needs both radius of curvature and tangent vector perpendicular to chord line, and has been solved very successful by special processing.

其中一种比较特殊的完备边界条件是翼型条件，它要求在端点处有垂直于弦线的切线，并且具有给定的曲线半径；

Submanifolds with Parallel Mean Curvature Vector in Spheres

球面上中曲率向量平行的子流形

Let be a compact pseudo-umbilical submanifolds with parallel mean curvature vector in the quasi constant curvature space. Two integrate inequalities on this kind submanifolds are given, then two sufficient conditions for to be a totally umbilical submanifold in are given.

设Mn是拟常曲率空间Nn+p中具有平行平均曲率向量的紧致伪脐子流形，论证得到了这种子流形的两个内蕴积分不等式，从而给出了Mn是全脐子流形的两个内蕴充分条件。

Complete space-like submanifolds with parallel mean curvature vector in de Sitter spaces

De Sitter空间中具有平行平均曲率向量的完备类空子流形

Compact totally real submanifolds in a complex space form without parallel mean curvature vector

复空间形式■~（2n）（C）中不存在平行平均曲率向量的紧致全实子流形

On stationary Submanifolds with parallel normalized mean curvature vector

具有平行正则平均曲率向量的稳定子流形

The mean curvature vector of surfaces in r~ n

R~n中曲面的平均曲率向量

An integral inequality for Submanifolds with parallel mean curvature vector

具有平行中曲率向量的子流形的一个积分不等式