mean curvature

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

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Using the matrix models of 3-dimensional Minkowski space, the author applies the integrable system theory to discuss the deformation properties and integrability on the spacelike surfaces with harmonic inverse mean curvature and the timelike surfaces with Lorentz harmonic inverse mean curvature.

利用可积系统的思想，借助三维Minkowski空间L3的矩阵模型，研究了L3中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变。

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In this paper, we show the existence of a unique, regular solution to the flow of constant mean curvature with Dirichlet boundary condition and this solution exists at least up until the time of energy concentration.

给出常均曲率热流的Dirichlet边值问题存在唯一和正则的解，并且这个解可以一直达到某个能量集中的时刻。

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Existence of global classical solutions of a generalized mean curvature flow equation

一类推广的平均曲率流方程整体古典解的存在性

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When used for grayscale image denoise, this new flow circumvents the ( switched) mean curvature flow and shows advantages when compared to enhanced frost filtering.

该流动用于图像去噪，实验结果表明，能够取得比（开关）平均曲率流更好的结果，与增强frost算法等相比也有明显的优势。

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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

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Some Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature

一类具有平行平均曲率和有限全曲率的完备子流形

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Study of Mean Curvature of Submanifolds in Generalized Complex Space Forms

广义复空间形式子流形平均曲率的一个讨论

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The mean curvature vector of surfaces in r~ n

R~n中曲面的平均曲率向量

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Submanifolds with Parallel Mean Curvature Vector in Spheres

球面上中曲率向量平行的子流形

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The Complete Hypersurface with Constant Mean Curvature in the Quasi Constant Curvature Space

拟常曲率空间中具有常平均曲率的完备超曲面

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Study on hypersurface with constant mean curvature in sphere

球面上的常平均曲率超曲面

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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

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Space-Like Hypersurfaces with Constant Mean Curvature in Static AdS Space-Times

静态AdS时空中的常平均曲率类空超曲面

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On analytic and algebraic solutions to mean curvature and total curvature

中曲率与全曲率的解法研究

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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。

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Complete space-like hypersurfaces with constant mean curvature in locally symmetric Lorentz spaces

局部对称Lorentz空间中具有常平均曲率的完备类空超曲面

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The integral of the mean curvature of a tube hypersurface

管状面的平均曲率积分

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Solutions of a Generalized Mean Curvature Equation with Critical Potential

含临界位势的广义平均曲率方程的解

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Global theorem of Submanifolds with parallel mean curvature in spheres

球面中具平行平均曲率向量的子流形的一个整体特征

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Curvature estimates and the stability of hypersurface with constant mean curvature

常平均曲率超曲面的曲率估计与稳定性

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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

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While the mean diameter of the column is50cm, the circumference as measured by the cutting path can reach up to8 meters due to jaggedness and frequent reversals of curvature.

柱子的平均直径为50厘米，由于有锯齿形状而且弯曲的地方时常有反转，因此切割部位的测量周长可达8米。

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Another theorem is proved too: Let M be an n-dimensional compact Einstein manifold and f: M → S~ ( n+ p)( C) is isotropic immersion with constant mean curvature.

还证明了当M是紧致无边定向的n维连通的Einstein流形，f：M→S~（n+p）（？）是等距迷向浸入，使，f（M）的平均曲率为常数H。

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Gap Theorems of Hypersurface with Constant Mean Curvature in a Unit Sphere

单位球面内常平均曲率超曲面的间隙性

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Nitsche dealing with the existence and uniqueness of graph-like prescribed mean curvature hypersurfaces in hyperbolic space.

Nitsche新近发表的一篇文章的主要结果,该结果涉及双曲空间中具有预规平均曲率的图状超曲面的唯一存在性.

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Hypersurface of Constant Mean Curvature With Parallel Second Fundamental Form in The Sphere

球面中具有平行第二基本形式的常平均曲率超曲面

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Mean Curvature Flow of Curve under Fuzzy Rule for Noise Removal

模糊准则下曲线的平均曲率流及图像去噪

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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

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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.

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