Trace Equivalence in SU(2, 1) |
| |
Authors: | Hanna Sandler |
| |
Institution: | (1) Department of Mathematics and Statistics, American University, Washington, DC, 20016, U.S.A. e-mail |
| |
Abstract: | In this paper it is shown that one can choose an arbitrarily large number of inconjugate elements of the group Z/2Z*Z/2Z*Z/2Z which have the property that, under all representations of the group in SU(2,1) as a discrete complex hyperbolic ideal triangle group, the elements are hyperbolic and correspond to closed geodesics of equal length on the associated complex hyperbolic surface. This is an analogue of the geometric fact that the multiplicity of the length spectrum of a Riemann surface is never bounded or the equivalent algebraic phenomenon that an arbitrarily large number of conjugacy classes in a free group can have the same trace under all representations in SL(2,R ). |
| |
Keywords: | complex hyperbolic geometry ideal tgriangle groups closed geodesics trace equivalence |
本文献已被 SpringerLink 等数据库收录! |
|