查询词典 Riemannian

Contemporary differential geometry is intrinsic , meaning that space is a manifold and structure is given by a Riemannian metric , or analogue, locally determining a geometry that is variable from point to point.

微分几何，这是简单的几何的曲率，已越来越重要，因为对数学物理的建议空间不是平坦的空间。

The problem of sub-Riemannian geodesics is a Lagrange problem with constraint. How to describe the constraint condition "γ'∈ D, a. e." is a difficult problem.

次黎曼测地线问题是变分学中的一个有约束的Lagrange问题，但在变分的过程中有个难点―如何推出约束条件"γ'∈D，在上几乎处处成立"的解析式。

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric A...

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds.

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

We discussed the compact speudo-umbilical submanifolds in a locally symmetric conformally flat Riemannian manifold.

2中的积分不等式推广到局部对称共形平坦黎曼流形中的伪脐子流形。

In this paper, we discuss the 2-harmonic spacelike submanifolds in a locally symmetric and conformally flat pseudo-riemannian manifold and get two sufficient conditions under which Mn turns into a maximal submanifold,and the results in [2] are improved.

讨论局部对称共形平坦伪黎曼流形的2-调和类空子流形，得到这类子流形成为极大的二个充分条件，推广了文[2]中的结论。

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

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundle For a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained.

中文摘要：本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

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。

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。