N维一致双曲流形的体积下界  

The Lower Bound for The Volume of Uniform Hyperbolic of n-Dimentional Manifold

作　　者：陈克林[1] 

机构地区：[1]云南民族学院数学与计算机科学学院,昆明650031

出　　处：《云南民族学院学报（自然科学版）》2003年第2期76-79,82,共5页Journal of Yunnan University of The Nationalities(Natural Sciences Edition)

摘　　要：利用n维M bius变换的Clifford矩阵表示推广了Jrgensen不等式 ,利用此范数形式的不等式和双曲几何的关系证明了一类双曲n +Expanded Jrgensen inequality by using of Clifford matrix of n-dimensional Mbius trasform, and,by the relation between the inequality of this norm and hyperbolic geometry,prove that one kind of hyperbolic n+1 dimensional manifold correspondent any Dirichlet basic polyhedrom includes a sphere which does not correlate to n.

关 键 词：体积下界 Moebius群 CLIFFORD矩阵 一致双曲流形 双曲几何 Jφrgensen不等式 

分 类 号：O186.1[理学—数学]