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n维一致双曲流形的体积估计
引用本文:王桦.n维一致双曲流形的体积估计[J].邵阳学院学报(自然科学版),2012,9(3):5-9.
作者姓名:王桦
作者单位:长沙理工大学数学学院,湖南长沙,410076
基金项目:湖南省教育厅一般项目(11C0050)
摘    要:利用高维Mobius变换的Clifford矩阵范数形式来推广Jorgensen不等式,并由此不等式得到n维一致双曲流形的体积下界.

关 键 词:Mobius变换  Clifford矩阵  双曲流形

An Estimation for The Volume of Uniform Hyperbolic n-Dimentional Manifold
WANG Hua.An Estimation for The Volume of Uniform Hyperbolic n-Dimentional Manifold[J].Journal of Shaoyang University:Science and Technology,2012,9(3):5-9.
Authors:WANG Hua
Institution:WANG Hua(Department of Mathematics,Changsha University of Science and TechnologyChangsha,Changsha,Hunan,410076,China)
Abstract:A generalised J{\o}orgensen’s inequality is obtained by using of Clifford matrix of the higher Mobius transformation,andapplying the inequality,we also obtain an estimation for the volume of one kind of hyperbolic n dimensional manifold.
Keywords:Mobius transformation  Clifford matrix  hyperbolic manifold
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