n维一致双曲流形的体积估计

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.%A generalised J{/o}orgensen's inequality is obtained by using of Clifford matrix of the higher Mobius transformation, and applying the inequality, we also obtain an estimation for the volume of one kind of hyperbolic n dimensional manifold.