In this paper,we prove that a complete Riemannian manifold M~n with lower quadratic sectional curvature (or Ricci curvature) decay,if it has small linear diameter growth,then it has a finitely generated fundamental group.
本文研究曲率二次衰减的完备黎曼流形,证明了若它的直径增长满足小的线性增长条件,则其基本群是有限生成的。
In this paper,we study the condition which makes the fundamental group of graph have every positive integer as the index of some normal subgroup.
本文主要研究图的基本群的正规子群的指数何时成为任意正整数的条件。
In this paper,we generalize the direct product theroem of the fundamental groups on the product space X×Y to that on the product space of X_1×X_2×…×X_n,and discuss their deformation retractions.
文章将乘积空间X×Y的基本群直积定理推广至乘积空间X1×X2×…×Xn上,并相应的讨论了乘积空间的形变收缩核,从而得到一些有趣的结论及性质。
In this paper, in accordance with the knowledge of Groupoid, we proved that the nature life of Lie Group on a Fundamental Groupoid has a coadjoint equivariant momentum mapping.
本文利用群胚的有关知识证明了李群在基本群胚上的提升作用有余伴随等变的动量映射这一结论,进而刻划了辛群胚的几何性质。
The authors have proved the normality of elementary subgroup of the general hermitian group by using the ∧-stable range condition which is a new one and weaker than both unitary stable range condition and absolute stable range condition.
∧-稳定秩条件是比酉稳定秩条件和绝对稳定秩条件都要弱的新的稳定秩条件,利用它证明了一般厄米特群的基本子群的正规性。
This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
Impartially handling lawsuits itself benefits the masses.
秉公办理的实质，就于基本群众有利。
The workers and peasants are the basic masses of the republic.
工人农民是这个共和国的基本群众。
On Simple Connectedness and Fundamental Groups of Finitely Dimensional Algebras;
关于有限维代数的单连通性和基本群
The Study of Some Questions with Orbifold Fundamental Group and Chen-Ruan Cohomology
Orbifold基本群与陈阮上同调若干问题研究
The strength of the masses in the country as a whole is also very small, because the workers and peasants, the basic sections of the masses, are not yet organized.
全国的群众力量也还是很薄弱，全国工农基本群众还没有组织起来。
Firm faith in the majority of the masses, and first and foremost in the majority of the basic masses, the workers and peasants -- this is our fundamental point of departure.
必须坚定地信任群众的多数，首先是工农基本群众的多数，这是我们的基本出发点。
Some Basic Properties of Groups Influenced by Their Maximal Subgroups;
受极大子群影响的群的若干基本性质
Some Basic Results on Smooth Groups and Vague Groups
关于Smooth群和Vague群的几个基本结果
Classifying Cluster Concepts and Differentiating Basic Cluster Concepts;
集群概念的分类及基本集群概念的辨析
The Establishment of National System of Essential Drug,To Ensure the Public Basic Demand for Drug
浅谈建立国家基本药物制度保证群众基本用药
the basic unit of money in the Bahamas.
巴哈马群岛使用的基本货币单位。
the basic unit of money in the Cayman Islands.
开曼群岛所使用的基本货币单位。
There are basically two types of endemism.
特有现象基本有两种类群。
The fundamental unit of the hierarchy is the association.
等级系统中的基本单位是群丛。
On Improving Ant-based Text Clustering Algorithm;
基于蚁群的文本聚类算法的改进研究
Five relations in the masses work of news media;
新闻群众工作应注意的几个基本问题
The Evaluation of the Social Capital of China Industry Clusters Based on the Analytic Network Process;
基于ANP的产业集群社会资本评价
Probe into Some Basic Problems of the Tourism Industry Cluster;
对旅游产业集群若干基本问题的探讨