The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems

被引：0

作者：

Lauret, Emilio A. ^{[1
]}

Linowitz, Benjamin ^{[2
]}

机构：

[1] Univ Nacl Sur UNS, Dept Matemat, Inst Matemat INMABB, CONICET, Bahia Blanca, Argentina

[2] Oberlin Coll, Dept Math, 10 North Prof St, Oberlin, OH 44074 USA

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2024年 / 20卷

关键词：

isospectral; spectrum; spherical space form; lens space; EIGENVALUE SPECTRUM; SYMMETRIC-SPACES; LENGTH SPECTRA; LENS SPACES; RIEMANN; ORBIFOLDS; MODULI; COMMENSURABILITY; SURFACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of hyperbolic manifolds and discuss the extent to which analogous results hold in the setting of spherical manifolds. We conclude with a number of open problems.

引用

页码：682 / 721

页数：40

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