constant curvature 中文意思是什麼
constant curvature
解釋
常曲率-
In this paper, we give a brief introduction to the helfrich elastic theory. to solve the helfrich equation under the physical conditions of vesicles, a taylor series method is introduced, which offers a unified method to reproduce the exact solution including the famous axisymmetrical constant - curvature surfaces and the biconcave shape solution
本文在簡要介紹了helfrich的彈性理論及膜方程的基礎上，開創性地引入taylor級數法，在軸對稱膜的邊界條件下，對helfrich膜方程以taylor級數法求解，統一地得到了目前已知的兩個特解：常平均曲率曲面和紅血球形狀解。 -
The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained ， and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve
導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式，建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線，不需要求解非線性方程組，避免了計算可能不收斂的麻煩，簡化了非圓曲線的節點計算過程 -
The corresponding problem for hypersurface with constant mean curvature in euclidean space r " + l remains open
關于r ~ （ n + 1 ）中常平均曲率超曲面的相應問題至今尚未解決。 -
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。 -
This paper deals with the regular curves in a riemannian manifold with constant sectional curvature and the affine starlike curves in r2, r3 and r4
本文研究了具有常截面曲率的黎曼流形中的正則曲線及二、三、四維空間中的仿射星形曲線。 -
In 1951, h. hopf proved, by associating a holomorphic 2 - differential to each constant mean curvature surfaces in r3, that only compact genus zero surfaces immersed in r3 with constant mean curvature are the round sphere, in chapter two, we consider the same question about the compact 2 - type surfaces of genus zero in s7
1951年， h . hopf發現r ~ 3中每個常平均曲率曲面都伴隨一個全純微分2 -形式，並證明了零虧格的常平均曲率閉曲面一定是r3中的球面.本文的第二章對于獷中零虧格的2型曲面討論了類似的問題 -
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 -
Rotation surfaces with constant mean curvature in 3 - dimensional minkowski space e
31中的常平均曲率旋轉曲面 -
The moment - curvature relationship chosen is assumed to have a horizontal branch beyond yield, with the moment remaining constant at the ultimate value
所選用的彎矩曲率關系是假定超過屈服後有一個水平段，即彎矩保持在極限值不變。 -
Study of contact force between drill string and borehole wall in constant - curvature wellbores
等曲率井眼中鉆柱與井壁間接觸力分析 -
Nc machining requires " interpolation " algorithms that accurately and efficiently generate sequences of reference position, distributed according to a prescribed feedrate function, along the tool paths. this paper present a systematic derivation of the proper taylor series coefficients for variable feedrate interpolators. when the path is ph curves, detailed formulations for instances are presented where the feedrate v is specified as a constant, the function of the time t, the arc length s and the local curvature k
對于nc加工要求插值演算法沿著刀具路徑準確、有效的生成參考點序列（根據預先指定的速率函數進行分佈）的實際工程需要，本文系統地推導了變速率插值運算元的泰勒系數，給出了當路徑為ph曲線，速率v為常數，及時間t 、弧長s 、曲率k的函數時具體的插值運算元。 -
Curvature estimation and stability of constant mean curvature hypersurfaces
常平均曲率超曲面的曲率估計與穩定性 -
Complete space - like hypersurfaces with constant scalar curvature in lorentz spaces
空間中的具有常數量曲率的完備類空超曲面 -
On the hypersurfaces with constant mean curvature in a quasi constant curvature space
關于擬常曲率空間中具有常平均曲率超曲面 -
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。 -
Submanifolds with flat connection of normal bundle in a riemannian manifold of quasi constant curvature
擬常曲率黎曼流形中的法聯絡平坦子流形 -
Second order parallel tensors on quasi - constant curvature manifolds
擬常曲率流形上的二階平行張量 -
Some results on metric averaging in space with nonnegative constant curvature
關于非負常曲率空間中度量平均的幾個結果
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