On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces

被引：4

作者：

Bhagwat, Chandrasheel ^{[1
]}

Rajan, C. S. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Bombay 400005, Maharashtra, India

来源：

JOURNAL OF NUMBER THEORY | 2011年 / 131卷 / 11期

关键词：

Compact hyperbolic spaces; Length spectrum; Zeta functions;

D O I：

10.1016/j.jnt.2011.05.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a multiplicity one theorem for the length spectrum of compact even dimensional hyperbolic spaces, i.e., if all but finitely many closed geodesics for two compact even dimensional hyperbolic spaces have the same length, then all closed geodesics have the same length. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2239 / 2244

页数：6