positive curvature

In this paper, some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained. We also prove that a compact totally real submanifold with positive curvature and parallel mean curvature vector of a complex projective space must be pseudo-umbilical.

获得了复射影空间中全实全脐子流形的若干性质，并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的。

On the Instability of Integral Currents and Harmonic Maps in Riemannian Manifolds of Positive Curvature

正曲率流形上积分流与调和映射的不稳定性

Then, make use of the positive curvature extreme points which correspond to each silhouette segment, to combine fine silhouette segments. So we can obtain the silhouette, which can represent limbs of human body.

然后，利用每个轮廓片段对应的正曲率极值点将细小轮廓片段进行合并，从而获得能够单独表示人体肢体的轮廓。

Could it be said that God favors positive curvature?

难道上帝对正曲率空间有偏爱？

Finally, a sufficient condition ensuring the submanifolds have positive sectional curvature is obtained.

最后，给出了使截面曲率大于零的一个充分条件。

Positive curvature has been a frequent subject in Riemannian geometry.

曲率是黎曼几何中的热门研究课题。

If the universe has a positive curvature, it's a closed universe.

正曲率的宇宙是封闭的宇宙.

On the other hand, a positive curvature would imply that three-dimensional space is finite and closed.

另一方面，一个正的曲率将必然说明三维空间是有限的，而且是封闭的。