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1·In this paper we investigate the convex set in a plane of constant curvature.

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。

2·As a particular case, the similar problem in quasi-constant curvature manifold is also taken into consideration.

同时，做为特例，也考虑了拟常曲率流形中的类似问题。

3·Then they focus on a projectively flat Finsler spaces, find a sufficient condition for it to be of constant curvature.

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。

4·Based on this foundation, basic models of plow-bottom surface are ruled surface and negative constant curvature surface.

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。

5·The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.

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。

6·We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.

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。

7·Numerical results of typical problems show that it passes the constant curvature patch test and possesses stable convergence and high accuracy.

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。

8·Some estimates of Gaussian curvature of conformal metric of mini mal surfaces immerse in the manifold of quasi-constant curvature were obtained.

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。

9·The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.

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。

10·Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.

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。