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Projective Blaschke manifolds
An－Min Li 1 * #,Guosong Zhao 2
1.Sichuan University，Chengdu， China
2.
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金,国家自然科学基金,国家自然科学基金,国家973项目（No.20060610004,10631050,10771146,2006CB805905）
Opened online: 8 January 2010
Accepted by: none
Citation: An－Min Li,Guosong Zhao.Projective Blaschke manifolds[OL]. [ 8 January 2010] http://en.paper.edu.cn/en_releasepaper/content/38663
 
 
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.
Keywords:locally projectively flat manifolds;equiaffine differential geometry;projective Blaschke manifold
 
 
 

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