curvature of parallel 中文意思是什麼
curvature of parallel
解釋
緯線彎曲-
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 case of closed surface, we obtain the following result : theorem 3. 1 let m be a closed surface with parallel mean curvature direction in r4 ( ), which admitting an isometric deformation preserving mean curvature
在閉的情況下，我們得到如下結果:定理3 . 1設m是r4 （約中平均曲率方向平行、非臍的閉曲面.若m容有保持平均曲率方向平行、且保平均曲率的等距變形曲面應，則m有常平均曲率 -
Then the non - interventional condition is that the relative geodesic curvature is zero. furthermore, for the transmission of the parallel or crossing axles, if the datum surface is the pitch one, the non - interventional condition is naturally satisfied
考慮到平行軸的法向圓弧齒輪傳動已臻成熟，論文重點研究了相交軸與交錯軸條件下法向圓弧齒輪傳動的基本方案。 -
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。 -
This paper contains three chapters. we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p. in particular, a sufficient condition for mn with constant scalar curvature to be totally umbilical is given
討論desitter空間s _ p ~ （ n + p ）中具有平行的單位平均曲率向量的緊致類空子流形m ~ n的第二基本形式長度拼擠問題，給出了具有常數量曲率的這種子流形是全臍球面的一個充分條件。 -
On submanifolds with parallel mean curvature in a riemannian manifold of quasi constant curvature
擬常曲率黎曼流形中具有平行平均曲率向量的子流形 -
On the submanifolds with parallel mean curvature in a eiemannian manifold of quasi constant curvature
擬常曲率黎曼流形中具有平行平均曲率向量的子流形 -
In the second part, we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m, and the sectional curvature of m is always greater than zero, then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero, then m is a totally geodesic surface or a sphere, where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
（ 2 ）研究了實空間形式r ~ m （ c ）中具有平行等參截面的緊致子流形m ，證明了具有一平行等參截面的子流形m ，如果m的截面曲率恆正，則m包含在r ~ m （ c ）的一個超球面內；對于常曲率空間及r ~ 4 （ c ）中具有常平均曲率的緊致曲面m ，如果m的高斯曲率處處大於零，則m或為r ~ m （ c ）中的全測地曲面或為一球面。這里m上的等參截面是m上整體定義的單位法向量場，使得m關於它的平均曲率m _ 1 （ ）是常數。
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