曲率

We establish an asymptotic Lipschitz homotopy invariance theorem for these K-homology groups and K-theory groups. We show that the asymptotic index maps are isomorphisms for the asymptotically scaleable spaces, which include Euclidean cones, simply connected complete Riemannian manifolds with nonpositive curvature.

我们证明了这些K-同调群和K-理论群具有渐近Lipschitz同伦不变性；对于渐近可标度的几何空间（包括欧氏锥、单连通非正曲率完备黎曼流形等），证明了渐近指标映射为同构。

Given a hyperbolic plane H2(-1)=,whose sectional curvature k is function K is the Gaussian curvature of the conformal metric g = e2ug ,then K satisfies the conformal Gauss curvature equation .

设H~2(-1)=是具常截面曲率k==1的双曲平面，其中B={∈R~2：x~2+y~2＜1}是单位圆盘，g=4(dx~2+dy~2)/(1-x~2-y~2)~2是所谓的Poincaré度量。考虑H~2(-1)上的共形形变度量？

In this paper,we deal with the flux of CMC-1 surfaces in hyperbolic space.

本文讨论双曲空间中常中曲率曲面的Flux。

Concave reflecting surfaces of spherical cap, paraboloid and hyperboloid of revolution are investigated with regard to the dependence of the levitation force on the section radius Rb and curvature radius R of the reflector.

针对球面、旋转抛物面和旋转双曲面三种形状的凹面反射端，系统研究了悬浮力与反射端截面半径R_b和曲率半径R之间的本征关系。

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。

It is shown that the convexity of the hypersurface is preserved and the flow will blow up in finite time when the force fields are constant.

证明了外力场为常向量场时，初始超曲面的凸性是保持的，且曲率流在有限时间内爆破。

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。

On the product of unit spheres,we give a kind of natural embeddings from the product unit spheres to the unit sphere in which the product of unit spheres can be viewed as a hypersurface.

第一个是在乘积单位球面上，我们给出自然的由乘积单位球面到高一维球面的嵌入映射，然后考虑了在乘积单位球面上预给定Gauss-Kronecker曲率后，我们所考虑的嵌入的存在性。

Topographic factors such as hypsography and earth curvature are greatly responsible for remote sensing image distortion.

地形因素，包括地面起伏和地球曲率，是造成航空数字遥感影像变形的主要原因之一。

This shader produces the effect of dust by using the Facing Ratio of the point being shaded to drive the mapping of a texture onto the Incandescence channel.

这个材质通过一个被着色点的分形曲率去驱动一个在Incandescence通道的贴一个纹理贴图来产生灰尘效果。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。