查询词典 weakly compact

In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.

本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。

A compact representation of the domain parameters of HCC is presented, and the equation of hyperelliptic curves over finite field is shortened.

给出了超椭圆曲线密码体制的基本参数的一个紧致表示，对有限域上超椭圆曲线的方程给出了一个更简短的表达形式。

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 mainly study the relations between compact minimal hypersurfaces of S~(n+1)(1) and the Clifford minimal hypersurface of S~(n+1)(1) by their spectrums, and the relations between unit tangent sphere bundle T_1 M and its base manifold M.

在本文中，我们主要通过谱研究了S~(n+1)(1)中的紧致极小超曲面和S~(n+1)(1)中的Clifford极小超曲面之间的关系，以及单位切球丛T_1M与它的底流形M之间的关系。

It is proved that a complete hypersurface in the Eucligean space with constant mean curvature and finite total curvature must be either minimal or compact.

我们证明了：欧氏空间中具有常平均曲率和有限全曲率的完备超曲面，或是极小超曲面，或是紧致超曲面。

The stability and compact, robust design of the 4600 makes it ideal for oil and gas panel applications.

的稳定性和紧凑，设计坚固的4600使其非常适用于石油和天然气面板应用。

The definition of the two Supreme Institutions pointed out the fraudulence and illegal character of Cult with the most compact language.

1999年10月，我国家最高人民法院、最高人民检察院对邪教下了这样一个定义：邪教组织"是指冒用宗教、气功或者其他名义建立、神化首要分子，利用制造、散布迷信邪说等手段蛊惑、蒙骗他人，发展、控制成员，危害社会的非法组织"。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Adoption of own company's high power density immersion electric heater,compact in size,energy conservative and fast thermal response.

采用本公司高密度浸入式电加热器，体积小，节能，热响应快。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。