球面曲率

We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.

接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。

The hybrid gel film on curved surface can replace traditional light-sensitive lacquer, and improve the grating's stability. The VLSG with the line density of 80l/mm was fabricated on a concave lens surface with curved radius of 100mm.

采用这种方法在曲率半径为100mm的凹球面基底上制作了平均线密度为80l/mm的光栅，并用环境扫描电镜以及数字图像处理法检测了光栅的线密度分布。

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

When a capillary tube, in whose inner hole an optical fiber has been fixed and whose axial deviation amount between an outer peripheral surface of the capillary tube and a core center of an end surface of the optical fiber is 1.5 mum or less, is inserted into the insertion portion of the thin tube and the end surface of the optical fiber is fixed at a position at which a distance of the end surface to a focal point position of the partially spherical lens becomes -40 mum or less, emission light has an emission light bend of 0.2 DEG or less with respect to the center axis of the thin tube.

当将光纤固定在内孔且外周面与光纤的端面的纤芯中心的轴偏移量在1.5μm以内的毛细管插入细管的插入部，并且将光纤的端面固定于部分球面透镜的焦点位置±40μm以内的距离的位置上时，出射光曲率为出射光相对细管中心轴在0.2°以内。

Geodesic curvature of the pitch curve on spherical surface was introduced as a medium,through which the pitch curve on spherical surface can be changed into equivalent planar pitch curve by numerical computation method.

以曲面上曲线的短程曲率为媒介，导出了球面节曲线伸展成平面当量节曲线的算法。

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。

In chapter 4 and chapter 5 we focus on spheres with positive sectional curvatures.

在第四章和第五章中我们重点考虑正截面曲率的球面。

At present, the measurement instrument of spherical curvature is developing towards miniaturization, automation, modular, and high-precision direction.

目前，球面元件曲率半径的测量仪器正在向着小型化、自动化、模块化、高精度的方向发展。

As for the spherical radius of 71.2037 mm,the standard error of 472.3 μm can be obtained.

实验结果表明：设计的光学球面自动测量系统可以对大曲率半径光学球面实现高精度测量。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。