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- This is the third version of a book on differential manifolds. 本书是代数学基本观点的一个很好的展示。
- Lie group has the special characteristics, that is,Lie group is not only a group but also a differential manifolds ,so the symplectic structure and the affine groups can be generalized on it. 抓住李群同时是群和微分流形的特殊性质,将辛结构和仿射群在李群上进行了推广,并讨论了它们的一些相关性质。
- AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY, REVISED. 微分流形与黎曼几何概论。
- At the most basic level, this course gives an introduction to the basic concepts of differential manifolds, exterior differentiation and Riemannian manifolds. 本课程主要介绍微分流形的基本概念和例子、外微分以及黎曼流形的初步知识。
- W . M . Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry . Academic press , INC. 陈维桓:微分流形初步,高等教育出版社.
- In differentiable manifolds, one studies for instance differentiable structure, definition of differential manifolds, diffeomorphism, tangent space, Embedding theorem, partitions of unity etc. 微分流形部分主要涉及微分结构,微分流形的定义及例子,可微映射,微分同胚,切空间与余切空间,流形的嵌入,单位分解定理等。
- The uses of this machine are manifold. 这台机器有多种用途。
- Recent Developments of Differential Manifolds and Harmonic Maps 微分流形与调和映射发展简况
- The "straightness" of a line, interpreted as the property that it minimizes distances between its points, can be generalized and leads to the concept of geodesics on differentiable manifolds. 在几何学中,直线没有粗细、没有端点、没有方向性、具有无限的长度、具有确定的位置。
- Web Retrieval Algorithm Based on Differential Manifold 一种基于微分流型的Web检索算法
- Goodness is simple, badness manifold. 善良单纯; 邪恶复杂。
- Optimization algorithms on differentiable manifolds 微分流形上的最优化算法
- covering differentiable manifold 覆盖微分流形
- orientable differentiable manifold 可定向
- New Geometrical Explanation of the Definition of Tangent Vector on Differential Manifolds 微分流形上切向量定义的新几何解释
- Transformation Group on the Four- dimension Courterfeit Euclidean Differential Manifold 四维赝欧氏微分流形上的变换群
- The ministry of books is manifold. 书的用处很多。
- Differential manifold, space - time structure and its 4 - dimensional geometric construction 流形与时空结构及其4维几何表述
- We must meet the manifold needs of the people. 我们必须满足人们多种多样的需要。