黎曼

This is a sub-Riemannian version of the fundamental theorem in Rie-mannian geometry.

这是黎曼几何基本定理的次黎曼版本。

This software carried out the calculation of the integral calculus of Bernhard Riema with draw the function sketch of the Bernhard Riema integral calculus function and together the function that two calculation and integral calculus zone diagrams of the heavy integral calculuses of a function draw.

本软件将实现黎曼积分的计算与绘制黎曼积分函数的函数图形、齐次函数的二重积分的计算与积分区间图的绘制的功能。

For H-type groups, explicit equations of shortest sub-Riemannian geodesies and a full characterization of the sub-Riemannian isometry groups are given in this dissertation.

对广义的Heisenberg群，本论文给出了最短次黎曼测地线的明确表达方程，并完全刻画了次黎曼等距群。

F irst of all from global viewpoint we define a kind of nonlinear control systems on Riemannian manifold , and give the representation of state equation for the nonlinear systems under a local coordinate system of Riemannian manifold

首先从整体化的观点定义了一种建立在黎曼流形上的非线性控制系统，给出了系统的状态方程在黎曼流形的局部坐标系下的表达式

The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem.

研究了局部对称共形平坦黎曼流形的紧致极小子流形，即设M是局部对称共形平坦黎曼流形的n维紧致极小子流形，得到了这种子流形的若干内蕴刚性积分不等式，给出了流形全测地的限制条

Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

黎曼的新思路的关键空间证明爱因斯坦的广义相对论理论和黎曼几何，其中认为非常笼统的空间中，长度的概念界定，是一个主体的现代几何。

Nilpotent and solvable Lie groups with left-invariant Riemannian metrics play aremarkable role in Riemannian geometry.

在黎曼几何中，带有左不变黎曼度量的幂零和可解李群具有重要作用。

In the second part of this paper, by considering the geometric properties of some well-known classical Riemannian manifold and combining with results we had got, we give the definition of the parallel rays in a complete nocompact Riemannian manifold M, which are usual parallel rays when M is restricted to Euclidean space R.

本文的第二部分，基于对一些典型的黎曼流形几何性质的观察，结合已有的研究成果，我们首次给出了完备非紧黎曼流形上平行射线的定义，该定义在欧式空间中就是普通的平行射线。

In chapter 2 we recall the basic facts about Riemannian manifold and some notions of the transform theory on Riemannian manifolds.

首先，利用给定流形的向量丛上联络的存在性给出流形上的不可积分布上非完整联络的存在性证明，进而证明了次黎曼联络的存在唯一性，并以此为出发点研究了次黎曼流形中仿射变换、等距变换、共形变换和射影变换下的一些不变性质，给出了相应变换下的一些不变量。

This paper is divided two chapters. The first chapter discusses the existence and uniqueness of solution for the Cauchy problem of the following quasilinear degenerate parabolic equationThe second chapter studies the geometric properties of a Riemannian manifold.

本文分两部分，第一部分是对如下形式的拟线性退化抛物方程Cauchy问题讨论了解的存在唯一性；第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。