principal bundle

principal bundle的基本解释

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主丛

与principal bundle相关的网络例句 [注：此内容来源于网络，仅供参考]

In this paper well use this covariant theory to discuss the prolongation structure of the integrable the inhomogeneous equation of the reaction-diffusion type: By establishing SL(2,R)principal bundle and its associated bundle and finding both 1-dimensional realization and 2-dimensional realization of its algera ,we can successfully give its AKNS-equations and Backlund transformation.

本文就是利用这套协变的延拓结构方法讨论了可积的非其次反应扩散型方程的延拓结构。通过建立SL(2，R)主丛及其伴丛，并找到其李代数的1维和2维实现，我们成功得到了其反散射方程和Backlund变换。

Assuming that the plastic deformation ofmaterial can be given by the internal states of material and theirevolution laws, a principal fibre bundle structure and the correspondentrelationships between the geometrical characterization and themechanical properties of the structure are obtained.

以连续介质力学内变量理论为基础，建立了一个以材料内部微结构变量为底流形，材料外部变形状态为对应纤维的材料状态纤维丛模型，使材料的力学特性与模型的几何性质自然对应起来。

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。

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

与principal bundle相关的网络解释 [注：此内容来源于网络，仅供参考]

principal bundle：衷

principal branch of radical 根基的枝 | principal bundle 衷 | principal character 重贞

principal bundle：主丛

胶束:colloidal bundle | 主丛:Principal bundle | 丰满系数:Ample factor

principal bundle：主扎

主页;主枝 principal branch | 主扎 principal bundle | 主曲率中心 principal centers of curvature

principal fiber bundle：主纤维丛

pure imaginary [数]纯虚数 | principal fiber bundle 主纤维丛 | economic upheaval 经济震荡

principal normal bundle：吱线丛

principal normal 吱线 | principal normal bundle 吱线丛 | principal normal vector 吱线向量