1.Invariant manifold of differential geometry is applied to stabilization of nonholonomic control systems to solve the high dimension control problems. Since invariant manifold has its original excellence to deal with high dimension problems, invariant manifold has its special significance in the control of nonholonomic control systems.
为了解决非完整控制系统的高维控制问题，本文把微分几何中的不变流形控制方法运用于非完整控制系统的镇定控制中，由于不变流形在处理高维控制问题有其独到的优点，因此不变流形在非完整控制系统的应用具有开拓性的意义。
2.This article analyses the experimental results of the flowing characteristics rand the flow velocity distribution of the intake manifold of WH492 gasoline engines and discusses the way to improve the performance of the intake manifold, thus furnishing an important basis to designing a high performance intake manifold.
本文分析了WH492汽油机气道的流动特性和流速分布的试验结果,探讨了改进气道性能的一些措施,为设计高效率的气道提供了重要依据。
3.In this paper, it is proved that generalized Grassmann manifold is a Riemannian manifold with constance scalar curvature, and one inequality for matrices is used to prove a non-eistience theorem on harmonicmaps to generalized Grassmann manifold.
本文在得到广义Grassmann流形具有常数数量曲率的结果的基础上，利用一个矩阵不等式证明了到广义Grassmann流形的调和映照的一个不存在性定理，并推广了吴光磊等人的结果．
4.manifold reasons; our manifold failings; manifold intelligence; the multiplex opportunities in high technology.
多方面的理由；我们有各种各样的缺点；多方面的智能；高科技中的多元机会。
5.By meshing hydraulic manifold in three dimensions and considering its machining technological characteristics, a designing method to arrange the oil passages in hydraulic manifold automatically is presented in this paper.
摘要通过对液压阀块的三维网格划分，结合液压阀块机械加工的工艺特点，本文提出了基于李氏迷宫算法的液压阀块孔道自动布局的设计方法，并进行了初步的软件实现。
6.(3) Created numerical manifold model of fully bonded bar based on the limited cover technology of manifold method, this model is a new numerical model of bolt which use partially analytic displacement pattern.
(3)基于有限覆盖技术,建立了全长粘结杆件的数值流形方法模型。
7.In this paper,suppose M is a complete Riemannian manifold,and satifies dim HD( M) =1 ; then any harmonic m ap from M to a C-H manifold m ust be constant map was proved.
本文证明了完备非紧 Riemann流形 M,若其上不存在非常数、具有限 Dirichlet积分的调和函数 ,则从 M出发到任何 C-H流形的具有限能量的调和映照必为常值映照 .
8.Discusses the relationships among the two numerical functions involved in the definition of quasi-Einsteinian manifold, the generating element and the harmonic curvature tensor. A necessary and sufficient condition is thus given for an Einsteinian manifold with harmonic curvature tensor, i.e., a differential equation that both the numerical functions and the generating element should satisfy.
本文讨论了拟爱因斯坦流形定义中的两个数量函数及生成元与调和曲率张量的关系,给出了具有调和曲率张量的拟爱因斯坦流形的一个充要条件,即数量函数及生成元应满足的微分方程。
9.The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem. i. e. if M be a compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold N(superscript n+p).
摘要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件。
10.Ricci curvature tensor is denoted by Ric. We study when the manifold which satisfy ? 2Ric=0 become a Einstein manifold or a space form.
本文用Ric表示里奇曲率张量，研究了?2Ric＝0的黎曼流形什么时候成为爱因斯坦流形或空间形式
