geodesic curvature 中文意思是什麼
geodesic curvature
解釋
測地曲率-
For geodesic triangle in 2 - dimensional constant curvature space, the author improves some geometric inequalities on its interior angle by theory of majorization
摘要對於二維常高斯曲率空間上的測地三角形，研究了其內角的優超關系，並運用優超理論得到了若干新的關于其三內角的幾何不等式。 -
Two classes of developable surfaces with any c - b zier curve as curvature curve and geodesic curve respectively are constructed
Zier曲線為該可展曲面的曲率線和測地線。六、以上提出的c - b -
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。 -
Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena
其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線 -
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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