向量丛

词组短语

vector bundle · bundle of p vectors

与向量丛相关的网络例句 [注：此内容来源于网络，仅供参考]

After that, using the method of group action we get the formula for computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back on non-primary Hopf manifold, of which the fundamental group is Abelian 〓.

我们利用群作用的方法，给出了具有Abel基本群〓的非主Hopf流形上具有平凡拉回的全纯向量丛的上同调维数的计算公式。

The Cancellation for modules have a good application background in the theory of vector bundles. As a common generalization of the comparability axiom and the cancellation law, T.

比较公理和一般可比性在算子代数，Bear环和正则环的研究中起着重要的作用；模消去在向量丛理论中有着很好的应用背景。

The contents include the computing of dimensions of cohomology of line bundles on non-primary Hopf manifolds and their applications to the existence problem of holomorphic structure or filtrable holomorphic structure on a continuous vector bundles; the structure and the computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back.

在这篇博士学位论文中，我们研究了非主Hopf流形上全纯向量丛，主要包括：非主Hopf流形上全纯线丛的上同调维数的计算，以及它们对连续向量丛上全纯。。。

The central goal of this work is trying to generalize the above result to the Higgs version case, which should be helpful to the study of some question, say variants of the Kobayashi-Hitchin correspondence. The theorem to be proved here is the followingTheorem 02: Let M be a compact complex manifold of dimension m with a Hermitian standard metric g and let be a Higgs bundle over M.

本文的一个主要的目的是把上面的定理推广到E是—Higgs向量丛的情形；这一结果的意义在于在研究与Kobayashi-Hitchin correspondence相关的问题，如考虑Kobayashi-Hitchin correspondence的形变展现它的作用。

We studied also the differential geometry of complex vector bundles.

我们还研究了复向量丛上的微分几何。

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering.

本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识，它们对于深入理解经典物理、现代物理以及工程都是必需的。

These results can be applied to the research of existence problems of holomorphic structure on continuous vector bundles on hopf manifolds.

这些结果可应用于Hopf流形上连续向量丛的全纯结构存在性问题的研究。

Then we study holomorphic vector bundles with trivial pull-back on nonprimary Hopf manifolds, of which the fundamental group is 〓, get the filtrable property and the Structure Theorem.

然后我们研究了具有Abel基本群〓的非主Hopf流形上具有平凡拉回的全纯向量丛E，得到其可滤性以及结构定理。

Firstly, based on the generalized function,φ-mapping topological current are rigorously proved to be of delta-function form δ and can be labelled by the nodal indices of the vector field, namely by Hopf indices and Brouwer degrees of this vector field, which reveals the inner relationships between our theory and the topology of vector bundle.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Firstly,based on the generalized function,φ-mapping topological currentare rigorously proved to be of delta-function formδand can be labelledby the nodal indices of the vector field,namely by Hopf indices and Brouwerdegrees of this vector field,which reveals the inner relationships between ourtheory and the topology of vector bundle.A singular divergence theorem isalso presented.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

与向量丛相关的网络解释 [注：此内容来源于网络，仅供参考]

vector basis：向量基

vector analysis 向量分析 | vector basis 向量基 | vector bundle 向量丛

vector basis：向量基 本文来自:博研联盟论坛

vector analysis 向量分析 本文来自:博研联盟论坛 | vector basis 向量基 本文来自:博研联盟论坛 | vector bundle 向量丛 本文来自:博研联盟论坛

bundle of lines：线把

bundle of coefficients 系数丛 | bundle of lines 线把 | bundle of p vectors 向量丛

bundle of p vectors：向量丛

bundle of lines 线把 | bundle of p vectors 向量丛 | bundle of planes 平面把

complex vector bundle：复向量丛

complex variable 复变量 | complex vector bundle 复向量丛 | complex velocity potential 复速度位势

tangent vector bundle：切向量丛

tangent vector 切矢量,切向量 | tangent vector bundle 切向量丛 | tangent vector space 切向量空间

vector bundle：向量丛

进一步的,当流行本身的拓扑结构和切空间上的线性结构发生关系--也就获得一簇拓扑关联的线性空间--向量丛(Vector bundle). 流形在实际应用中起重要作用的还有两个方面:一个是研究几何形体的性质(我们暂且不谈这个),

vector bundle：向量丛 本文来自:博研联盟论坛

vector basis 向量基 本文来自:博研联盟论坛 | vector bundle 向量丛 本文来自:博研联盟论坛 | vector calculus 向量计算 本文来自:博研联盟论坛

trivial vector bundle：平凡向量丛

trivial uniformity 平凡一致性 | trivial vector bundle 平凡向量丛 | trizon bomb 三吨当量的拉松式炸弹

vector calculus：向量计算

vector bundle 向量丛 | vector calculus 向量计算 | vector component 向量分量