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allied mean curvature 联合平均曲率
In this paper,the geometry of submanifolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold is studied. 本文研究局部对称共形平坦黎曼流形中具有平行平均曲率向量的紧致子流形的性质。
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。
A method is used to approximate several differential properties, including mean curvature, Guassian curvature and main curvature on scattered-point-sampled surfaces. 摘要提出一种直接在散乱数据点云上计算曲面的局部微分性质，包括平均曲率、高斯曲率和主曲率。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric spaces and obtains integral invariants about the square of modulus-length. 讨论局部对称空间中具有平行平均曲率向量的子流形;得到其关于第二基本形式模长平方的积分不等式的相关定理.
The auther worked out a pinching theorem of compact pesudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds. 摘要研究局部对称共形平坦黎曼流形中具平行平均曲率向量的紧致伪脐子流形，得到了这类子流形模长平方的一个拼挤定理。
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. 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。
As corollaries, some pinching problems on the submanifolds with parallel mean curvature vector in a unit sphere are discussed, which improves results obtained before. 作为推论，讨论了单位球面中具有平行平均曲率向量的子流形的第二基本形式长度的拼挤问题，改进了已有的结论。
By the algebraic estimation to the Simons-Formula, a result of submanifolds with parallel mean curvature vector in a conformally flat Riemannian manifold is provided. 通过对共形平坦空间中的Simons公式的代数估计，得到其中具有平行平均曲率向量的紧致子流形的一个拼挤性质。
In this paper, we mainly discuss a kind of surfaces in4- dimensional Pseudo-Euclidean Space and give the classification of such surfaces with constant mean curvature and Gauss curvature. 文章研究四维伪欧氏空间中的一类曲面;给出了具有常平均曲率、高斯曲率及相关平均曲率和高斯曲率的这类曲面的分类.
The relationships between the intrinsic arid the extrinsic invariants of submanifolds in generalized complex space forms are studied, and the inequalities of the mean curvature and an intrinsic invariant are obtained. 摘要讨论了广义复空间形式的子流形的内蕴不变量与外蕴不变量之间的关系，利用高斯方程得到了子流形的平均区率这个外蕴不变量与一个内蕴不变量之间的不等式结论，给出了等式成立的充分必要条件。
Finally a confor-mal invariability of norm integrate of the second fundamental form was obtained by using the Conformal invariability of the total mean curvature of the surface in E3 and the Gauss Bonnet theorem. 最后利用E~3中曲面的全中曲率的共形不变性以及Gauss Bonnet定理,得到了第二基本形式模方积分的共形不变性。
The complete hypersurfaces with constant mean curvature in locally symmatric manifold are investigated, a characteristric theorem of complete hypersurface in locally symmatric manifold is obtained. 研究局部对称黎曼流形中的具有常中曲率的完备超曲面,得到了这类曲面全脐的一个结果。
The English language is allied to the German language. 英语和德语属于同一语系。
In this paper, we gave an integral inequality for isometric immersed submanifolds with Parallel mean curvature vector in pinched Riemannian manifolds, and improve the result obtained by H. Q. Xu. 摘要本文对一般拼挤黎曼流形中的具有平行平均曲率向量的等距浸入子流形给出了一个积分不等式，改进了已有的结果。
ZHANG Jian-feng.On submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifold [J].J of Zhejiang University (Science Edition), 1999,26(4) :26-34. [9]张剑锋.;局部对称共形平坦黎曼流形中具有平行平均曲率向量的子流形[J]
The English language is not allied to the Chinese. 英语与汉语不属于同一语系。
City planning and allied studies. 城市规划和相关研究。
Economy is closely allied to politics. 经济与政治有着密切的关系。
We were allied with them against the aggressor. 我们与他们结盟,一起反抗侵略者。

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