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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。
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 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。
hypersurface with constant mean curvature 常平均曲率超曲面
The Existence of the Heat Flow of Constant Mean Curvature 常均曲率热流的存在性
Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems 常数均值曲率曲面、调和图与可积系统
Complete Hypersurfaces with Constant Mean Curvature in Locally Symmetric Manifold 局部对称黎曼流形中具常平均曲率的完备超曲面
Complete Space-like Hypersurfaces with Constant Mean Curvature in de Sitter Spaces 空间中的常平均曲率完备类空超曲面
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in a Locally- Symmetric Space 关于局部对称空间中常平均曲率超曲面的截面曲率的Pinching定理
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space 局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理
flow of constant mean curvature 常均曲率热流
constant mean curvature 常平均曲率
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。
The region of the atmosphere below 90 Km has a nearly constant mean molecular mass, and is therefore called the homosphere. 90公里以下大气区域，具有一个接近恒定的平均分子质量，因此称为均匀层。
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。
The region of the atmosphere below 90 Km has a nearly constant mean molecular mass, and is therefore called the homosphere . 90公里以下大气区域，具有一个接近恒定的平均分子质量，因此称为均匀层。
His wife was a constant inspiration to him. 他的妻子经常鼓励他。