ON G-SETS AND ISOSPECTRALITY

被引：4

作者：

Parzanchevski, Ori ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, IL-91905 Jerusalem, Israel

来源：

ANNALES DE L INSTITUT FOURIER | 2013年 / 63卷 / 06期

关键词：

isospectrality; laplacian; G-sets; Sunada; COVERINGS; GRAPHS;

D O I：

10.5802/aif.2831

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study finite G-sets and their tensor product with Riemannian manifolds, and obtain results on isospectral quotients and covers. In particular, we show the following: If M is a compact connected Riemannian manifold (or orbifold) whose fundamental group has a finite non-cyclic quotient, then M has isospectral non-isometric covers.

引用

页码：2307 / 2329

页数：23

共 24 条

[1] The isospectral fruits of representation theory: quantum graphs and drums [J].