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1·Mean curvature;

平均曲率；

2·Study on hypersurface with constant mean curvature in sphere;

介绍了具有常数平均曲率的超曲面的稳定性概念。

3·In this paper, the notion of stability of hypersurfaces with constant mean curvature was considered.

介绍了具有常数平均曲率的超曲面的稳定性概念。

4·Integral absolute mean curvature is introduced to describe average curving of an orientable closed surface.

引入积分绝对平均曲率来描述可定向闭曲面的平均弯曲程度。

5·We present a smoothing algorithm based on the main direction combined with mean curvature flow and normal filter method.

本文主要提出了基于主方向的平滑算法，并结合平均曲率流算法和法向滤波算法进行了改进。

6·We have discussed the C-totally real submanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.

本文讨论了Sasakian空间形式中具有平行平均曲率向量的C-全实子流形，得到了一个Simons型公式并且改进了S.Yamaguchi等的一个结果。

7·The paper presents a smoothing algorithm based on the main direction combined with the mean curvature flow and the normal filter method.

该文给出了基于主方向的平滑算法，并结合平均曲率流算法和法向滤波算法进行了改进。

8·We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.

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。

9·In the present paper, we mainly study the codimension reduction problems for submanifolds with parallel unit mean curvature vector in a sphere.

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。

10·In this paper, we discuss Laplacian smoothing and modified methods, mean curvature flow, PDE method and the smoothing method based on directions.

在文中，分别讨论了拉普拉斯平滑及其改进算法、平均曲率流、PDE方法及基于方向的平滑算法。