In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.
在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。
Within complex projective plane an algebraic expression of the hyperbolic projective move among two - dimension manifold is given.
本文在复射影平面上给出了二维流形中双曲射影移动的代数表达式。
This article points to the concept of convex sets in projective space, and it dissertates upon the notion and construction method with which pseudo hyperbolic hull transforms from classical convex polygon by projective transformation in projective space.
本文针对凸集合在射影空间中的概念，论述了经典凸壳经射影变换后在射影空间中形成的类双曲壳的概念及构建方法。