查询词典 mean curvature

Submanifold; Homology group; Topological sphere theorem; L~2 harmonic 1-forms; Ends; Eigenvalue; Mean curvature; Second fundamental form

基础科学，数学，几何、拓扑子流形；同调群；拓扑球面定理； L~2调和1-形式；端；特征值；平均曲率；第二基本形式

And obtain that compact submanifolds with parallel mean curvature vector must be totally geodesic.

以及具有平行平均曲率向量的紧致子流形的全测性质。

Some uniform formulae are established, which link the Laplacian of the position vector function to the mean curvature vector field on any submanifold in the space forms.

讨论空间型中的位置向量场，建立一组统一的公式，将子流形的平均曲率向量场与位置向量及其衍生函数的Laplacian联系在一起。

A pinching theorem of compact pseudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds

研究了复空间形式中具有平行法平均曲率向量的紧致全实伪脐子流形。

This pepediscusses compact submanifoldsoftheunit sphere Study is made on conditions ofsubmanifolds with parallel mean curvature vector,submanifolds with flat normal bundle and pseudo-umbilical submanifolds to be umbilical respectively.

本文讨论球的紧致子流形，研究具平行平均曲率向量的，具平坦法丛的、以及伪脐子流形成为全脐子流形的条件，得到几个关于第二基本形式长度千方S的pinching条件。

The relations among three parallel sections,such as parallel mean curvature vector fields, parallel isoperimetric section and parallel umblic section,on submanifolds in the constantly curved Riemannian manifolds R ~ are studied.

讨论常曲率空间Rn+p中子流形上三类平行截面：平行平均曲率向量场、平行等参截面、平行脐截面三者之间的相互关系。

In this thesis, we note in particular the Alexandrov theorem, which is concerned with the constant mean curvature.

在本文中，我们给出了一个与平均曲率有关的Alexandrov定理的另一证明。

This code calculate mean and gaussian curvature of a surface and can be used in HK segmentaton

这个代码计算表面曲率的均值和高斯值，并可以用在HK分割中。

The mean curvature flow is a very important geometric evolution equation.

中曲率流是非常重要的几何发展方程。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解，运用摄动技巧、拓扑方法及比较原理，在一个适当的条件下，证明了广义平均曲率方程组径向对称解的存在性。

It also analyzes the feature and development of semi-finish grinding and finish grinding by roller press.

同时进行了辊压机半终粉磨和终粉磨系统的特点和发展分析。

When I got there, water was dripping slowly from the ceiling and forming a pool on the floor.

当我到那里的时候，水是慢慢地从天花板滴而且形成在地板上的一个池。