查询词典 mean curvature

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。

We studied the global differential geometry of Riemannian manifolds and submanifolds including minimal submanifolds, constant mean curvature submanifolds, complex submanifolds and symplectic submanifolds, etc..

研究黎曼流形及其子流形的整体微分几何性质，包括研究极小子流形、常平均曲率子流形、复子流形和辛子流形等。

In this paper, we mainly study the gap of the second fundamental form of hypersurface with constant mean curvature in the unit sphere.

本文主要研究了单位球面内常平均曲率超曲面的第二基本形式模长平方的间隙性。

In the second chapter, we investgate the Type II singularity of mean curvature flow of compact hypersurface in Riemannian manifold.

在第二章中我们讨论了一般黎曼流形中紧致超曲面在平均曲率流下的形变并且对它们的第二类奇点进行了分析。

In this thesis, we totally depict the spectrum of the Laplacian on theclosed hypersurface with constant mean curvature and constant scalar curvaturein S~4, i.e., compute all eigenvalues of such closed hypersurface.

本文完整地刻画了S~4中具有常平均曲率和常数量曲率的闭超曲面上Laplace算子的谱，即计算出这类闭超曲面的各阶特征值。

A deformable model is used to reconstruct the shape of the LV: first, the dynamic equation governing the surface deformation is deduced; secondly the image planes are mapped to the reconstruction coordinate system. From the slices data, the external force exerted on the surface is defined and the elastic force of the surface is constructed by mean curvature of the deformation surface. Finally, a level set method is applied to solve the dynamic equation for LV shape.

为了重建左心室的形状，使用基於形变模型的方法：首先建立变形曲面的动力学方程；再将成像坐标系中的图像平面映射到重建坐标系，根据图像数据构造外力，使用平均曲率构造变形曲面的弹性力，然后用水平集数值解法求解动力学方程以重建左心室的表面。

Finally, we would point out excellent method for gaussian and mean curvature estimation.

最终得出结论，指出现有方法中对高斯曲率和平均曲率的计算效果最优的方法。

Mean curvature is closely related to the first variation of

平均曲率和

This paper concerns submanifolds with constant mean curvature in Euclideanspaces or unit spheres.

本文考虑欧氏空间或单位球面中平均曲率为常数的子流形，主要考虑极小的，即平均曲率为零的子流形。

In this thesis, we mainly investigate mean curvature flow with external force fieldswhich comes from the study of the vortex of a Ginzburg-Landau system.

本文主要研究一类带外力场的平均曲率流，它源于对一类Ginzburg- Lan-dau方程的漩涡运动的研究。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。