An Isospectral Deformation on an Infranil-Orbifold

Canadian mathematical bulletin

Elizabeth Stanhope¹  Emily Proctor² 

[1] Lewis & Clark College, Department of Mathematical Sciences, Portland, OR, U.S.A.;Middlebury College, Department of Mathematics, Middlebury, VT, U.S.A.

关键词: spectral geometry;    global Riemannian geometry;    orbifold;    nilmanifold;   

DOI  :  10.4153/CMB-2010-074-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We construct a Laplace isospectral deformation of metrics on anorbifold quotient of a nilmanifold. Each orbifold in the deformationcontains singular points with order two isotropy. Isospectrality isobtained by modifying a generalization of Sunada's theorem due toDeTurck and Gordon.

【 授权许可】

Unknown