微分几何

Quantity and space both play a role in analytic geometry , differential geometry , and algebraic geometry .

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

One has its origin in algebraic geometry, whereas the other one comes from differential geometry.

借助于它们上面的Hermitian度量我们可以定义两个模空间：一个联系着代数几何；一个联系着微分几何。

The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to he known.

采用非线性有限元法进行了膜结构的形态分析和荷载分析，得到了曲面有限元网格；通过离散微分几何方法，研究了薄膜结构曲面的几何性质，包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量，避免了复杂的曲面拟合过程。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

In chapter 1, some examples of studying differential geometry's objects in the view of CAGD are introduced. The background and the results of the problem studied in this paper are also presented.

在第一章中，介绍了前人运用计算几何的观点来考察微分几何的研究对象的几个范例，并简要说明了本文的研究背景与研究结果。

Contemporary geometric topology and differential topology , and particular subfields such as Morse theory , would be counted by most mathematicians as part of geometry.

现代微分几何拓扑和拓扑结构，特别是分支如莫尔斯理论，将计算的大多数数学家的一部分几何。

Shoshichi Kobayashi, Katsumi Nomizu, Foundations of Differential Geometry

标准的微分几何入门教材，主要讲述微分流形

Establish geometry model of hyperboloid clutch with rollers with differential geometry. We know that the line of tangent is beeline and validate it with Matlab.

利用微分几何相关知识建立了内外环的双曲面等距曲面及滚柱的几何模型，求解出其接触线为直线并用MATLAB进行了理论验证。

This course presents some of the basic ideas and methods in the studying of ODE and their applications.

同时，本课程也为后续课程（如微分几何、偏微分方程等）的学习做好准备。

A Comprehensive Introduction to Differential Geometry vol 1-5 ,by Michael Spiv

陈维桓，《微分流形初步》，高教版苏步青，《微分几何》，高教版

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。