查询词典 pinching

If we give some restrician to the intrinsic quantities of submanifolds, such as second fundamental form, scalar curvature,Ricci curvature or sectional curvature,then we can get some new property of the submanifolds.The procedure is called pinching problem of submanifolds.

对子流形的第二基本形式模长平方s，数量曲率R，Ricci曲率R_及截面曲率R_等内在量，加以某种限制，从而得到子流形的某些性质，叫做子流形的pinching问题。

In 1968,J.simons got the integral formulaof the minimal submanifolds of unit sphere S~(1).After that time,many geometrician had got lots of results on the pinching problem of submanifolds.

自从1968年J.Simons给出球面S~(1)中极小子流形的积分公式后，几何学家对子流形的pinching问题研究的很多。

As applications of these formulae some pinching theorems for Gaussian curvature of holomorphic curves in G is gained.

利用这些公式，文中得到一些关于G中全纯S^2的Gauss曲率的Pinching定理。

In the second chapter, we study a pinching theorem for submanifolds of locally symmetric space with parallel mean curvature .

第二章节是关于局部对称空间中具有平行平均曲率向量子流形的pinching定理，设M是局部对称空间N~中一个紧致子流形。

If you say someone is penny-pinching, you mean thatthey don't want to spend money on things.

Penny-pinching 的意思啊，就是说一个人特别小气，不愿意花钱。

The study of the pointwise pinching problems for Kaehler submanifolds in complex projective space has a long history.

关于复射影空间中Kaehler子流形的逐点pinching问题的研究具有十分悠久的历史。

We use the Hopf fibration in the first chapter to study the global pinching problems of minimal submanifolds in complex projective space and we get:Theorem A.

在本文第一章中运用Hopf纤维化方法研讨了复射影空间中极小子流形的整体pinching问题，得到了：定理A。

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

The contrast is between the silkiness of the broad bean and the artful civil servant's ability to cream off his own source of profits,"pinching cash like silk from cocoons".

这幅画的题诗解释道，观赏者不应认为"heaven loves silken threads"这是拿蚕豆的柔软讽刺狡猾的政府官员为自己牟利，"pinching cash like silk from cocoons"(中文大意：敲诈勒索，就像从蚕茧抽丝)。

We study a pinching theorem for submanifolds of locally symmetric space in this paper.This paper has three chapters.In the first chapter, we give a brief introduction of the property of submanifoldsin locally symmetric space,which prepares for the proof of the following main results.

本文研究局部对称空间中子流形的pinching问题，全文共分为三个章节：第一章节介绍局部对称空间中子流形的性质，从而为后面主要结果的证明作准备。

Means the parent directory, so this command means to execute "toolchain.sh," which is in the current directory.

代表父目录，所以这个命令就是执行当前目录下的"toolchain.sh"。

Yes,In fact,I'm on our city ream.

是的。事实上我是我们市队的。