manifolds

manifolds的基本解释

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[变形] manifold的第三人称单数

adj.

多方面的, 多种的, 有许多部分的, 有许多部份的

n.

复印本, 多种

vt.

复写, 增多, 繁殖, 使多样化

与manifolds相关的网络例句 [注：此内容来源于网络，仅供参考]

Libermann.The early researcheson this kind of manifolds were closely related to Physics and Mechanics.But since1991,S.Kaneyuki published his result on the algebraic condition for the existence ofinvariant〓structures on a coset space,Lie theory has played the most impor-tant role in the study of this kind of manifolds.In particular,dipolarizations in a Liealgebra are closely related to the homogeneous〓manifolds.Dipolarizationsin semisimple Lie algebras and the homogeneous〓manifolds associated withthese dipolarizations have been studied by S.Kaneyuki,Z.X.Hou and S.Q.Deng.Inthe partⅡ of this thesis we study the dipolarizations in some quadratic Lie algebrasand the homogeneous parakahler manifolds associated with these dipolarizations.

Libermann给出的，早期的有关类流形的研究与物理和力学密切相关，自从1991年金行壮二发表了陪集空间上存在不变仿凯勒结构的代数化结果后，李群及李代数理论在这类流形的研究中起着主要作用，特别地，李代数的双极化与这类流形密切相关，半单李代数的双极化的相关几何，金行壮二，候自新和邓少强等人已作了研究，二次李代数是比半单李代数更广且带有非退化不变双线性型的李代数，本文主要研究了二次代数的双极化及相关几何。

In Chapter 2,we give some preparations about the basic knowledge of 4-manifolds, spin 4-manifolds and group actions on manifolds....

主要介绍了4-流形的基本概念，4-流形上的Spin几何以及流形上的群作用等方面的基本知识。

In this thesis,we mainly study complete noncompact Riemannian manifolds with Ricci curvature bounded from below. We study the topology of these manifolds via comparisonal geometry methods.In chapter 1 ,we will make a general description on the recent researches in our field.

在本文中，我们主要研究了Ricci曲率有下界完备非紧的Riemann流形的拓扑问题，在比较几何的基础上研究了有特定曲率条件的Riemann流形的拓扑，得到了有关其拓扑结构的一些结果。

与manifolds相关的网络解释 [注：此内容来源于网络，仅供参考]

cobordant manifolds：配边廖

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Differentiable Manifolds：微分流行

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Manifolds：集合管

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Manifolds：聚集管

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Manifolds：联箱

汇流阀 manifold valve | 复印,复写 manifolding | 联箱 manifolds