同时，做为特例，也考虑了拟常曲率流形中的类似问题。
As a particular case, the similar problem in quasi-constant curvature manifold is also taken into consideration.
本文研究常曲率平面上的凸集，研究常曲平面上的凸集方法。
In this paper we investigate the convex set in a plane of constant curvature.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
据此得出直纹和负常曲率两类曲面可作为犁体曲面的基本模型。
Based on this foundation, basic models of plow-bottom surface are ruled surface and negative constant curvature surface.
给出了拟常曲率流形中极小曲面的共形度量的高斯曲率之上界估计。
Some estimates of Gaussian curvature of conformal metric of mini mal surfaces immerse in the manifold of quasi-constant curvature were obtained.
数值结果表明该单元能通过常曲率分片试验，收敛稳定并具有较好的精度。
Numerical results of typical problems show that it passes the constant curvature patch test and possesses stable convergence and high accuracy.
给出了拟常曲率流形中二维极小子流形的共形度量的高斯曲率之上界估计。
Some estimates of Gaussian curvature of conformal metric of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature were obtained.
证明了拟常曲率流形中二维极小子流形上一个单连通区域为稳定的充分条件。
Sufficient conditions for a simply-connected domain of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature to be stable were proved.
文章后半部分探讨了射影平坦的芬斯勒空间，得到它成为常曲率空间的一个条件。
Then they focus on a projectively flat Finsler spaces, find a sufficient condition for it to be of constant curvature.
研究了拟常曲率流形中具有平行平均曲率向量的子流形，给出了两个积分不等式。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
爱因斯坦流形是特殊的一种黎曼流形，它有很好的特征，其定义弱于常曲率黎曼流形。
Einstein manifold is a particular kind of Riemannian manifold, it has good characters, its definition is weaker than Riemannian manifold with constant sectional curvature.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
本文给出了四维仿射空间中具有常截面曲率的仿射球的完全分类。
Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.
利用可积系统的方法研究3维球空间中的常中曲率(CMC)曲面，并给出了曲面的谱变换。
It is studied that the CMC surfaces in the sphere space of dimension 3 by means of integrable system and its spectral transformation is given.
为了适应非定常流场对网格品质要求较高的特点，网格生成采用了基于几何外形、模型表面曲率为基础的自适应生成及加密方法。
The unsteady flow request a higher quality in grid so in this article the Cartesian grid is generated based on geometric and the body curvature.
为了适应非定常流场对网格品质要求较高的特点，网格生成采用了基于几何外形、模型表面曲率为基础的自适应生成及加密方法。
The unsteady flow request a higher quality in grid so in this article the Cartesian grid is generated based on geometric and the body curvature.
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