A New Construction of Isospectral Riemannian Nilmanifolds with Examples

1995/02/10 by Ruth Gornet, Gornet, Ruth
Mathematics · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.math/9502208

arxiv created 1995/02/10 · openalex publication_date 1995/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new construction for obtaining pairs of higher-step isospectral Riemannian nilmanifolds and compare several resulting new examples. In particular, we present new examples of manifolds that are isospectral on functions, but not isospectral on one-forms.

Citations

• Can One Hear the Shape of a Drum?

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