Isospectral Alexandrov spaces

被引：0
|
作者：
Alexander Engel
Martin Weilandt
机构：
[1] Universität Augsburg,Institut für Mathematik
[2] Universidade Federal de Santa Catarina,Departamento de Matemática
来源：
Annals of Global Analysis and Geometry | 2013年 / 44卷
关键词：
Alexandrov space; Spectral geometry; Laplace operator; Isospectrality; 58J53; 58J50; 53C20; 51F99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct the first non-trivial examples of compact non-isometric Alexandrov spaces which are isospectral with respect to the Laplacian and not isometric to Riemannian orbifolds. This construction generalizes independent earlier results by the authors based on Schüth’s version of the torus method.
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页码：501 / 515
页数：14
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