projective space

In this paper we discuss the algebraic expression of involutory perspective in three-dimensional projective space.

本文给出了三维射影空间上对合透视的代数表达式。

Algebraic Expression of the Involutory Homology in Higher Dimensional Projective Space

高维射影空间对合透视的代数表达式

In this paper the linearly topological structure of Menger Probabilistic inner product space is discussed. In virtue of these, some more general convergence theorems, Pythagorean theorem, and the orthogonal projective theorem are established.

本文讨论了Menger概率内积空间的线性拓扑结构，建立了空间上较为一般的收敛定理，勾股定理及正交投影定理等。

Projective Classification of Quadric Hypersurface in Real Projective Space

实射影空间中二阶超曲面的射影分类

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。

There exists two pairs of congruent plane pencils between two projective space.

两射影空间场,属于每一对对应非固有点,存在两对对应合同面束.

We use the Hopf fibration in the first chapter to study the global pinching problems of minimal submanifolds in complex projective space and we get: Theorem A.

在本文第一章中运用Hopf纤维化方法研讨了复射影空间中极小子流形的整体pinching问题，得到了：定理A。