riemann manifold 中文意思是什麼
riemann manifold
解釋
黎曼流形-
Lots of concrete examples are (, ) - metrics. and one of fundamental problems in finsler geometry is to find and study finsler metrics with constant ( flag ) curvature. on the basic, we majarly study the following problems in present paper : ( a ) to the property of a class of (, ) - metrics in which is parallel with respect to riemann metric a and riemann metric a is of constant curvature, we obtain the following theorem4. 3 let f (, ) be a positive definite metric on the manifold m ( dimm > 3 )
在finsler幾何中，我們現在已知的finsler度量已經很多了，但大多數具體的例子主要都集中在（ ， ） ?度量中，又在finsler幾何中一個基本的問題就是去發現和研究具有常曲率的finsler度量，基於這些本文主要研究了以下一些問題： （ a ）一類關於是平行的並且riemann度量具有常曲率的（ ， ） ?度量的特殊性質，得到了如下的定理4 -
In the part of orbit control, the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint, and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control, the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra, moreover, to design corresponding control schemes
在軌道控制部分，研究的主要思想是從整體化的觀點出發定義一種建立在riemann流形上的非線性控制系統，將狀態空間的幾何結構與控制系統的狀態方程建立直接的聯系。在姿態控制部分，研究的主要思想是以整體微分幾何方法為工具，以李群與李代數等數學理論為基礎，從數學角度建立具有良好性能的數學模型，並設計出相應的控制方法。 -
9. by the research of metric tensor and riemann tensor on riemann manifold, we get the inherent curvature of configuration space belonging to parallel mechanism. so the relative coordinates and generalized coordinates are inevitable choice for parallel mechanism. 10
9 、通過對度量張量和riemann張量的研究，得出並聯機構運動可達子空間的內在「彎曲」性質，指出使用相對坐標系和廣義坐標是研究並聯機構運動學和動力學問題的必然選擇。
分享友人