Isospectral plane domains and surfaces via Riemannian orbifolds

1992/12/01 by Carolyn S. Gordon, C. Gordon, David L. Webb +3 · 4 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Isospectral #Mathematical analysis #Mathematics #Plane (geometry) #Pure mathematics

paper · doi:10.1007/bf01231320

crossref issued 1992/12/01 · crossref published 1992/12/01 · crossref published-print 1992/12/01 · openalex publication_date 1992/12/01 · crossref created 2005/02/25 · crossref deposited 2019/04/30 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31

Citations

• Cayley graphs and planar isospectral domains
• Eigenvalues in Riemannian Geometry
• Riemannian Coverings and Isospectral Manifolds
• Constructing Isospectral Manifolds
• On manifolds of negative curvature with isospectral potentials
• Isospectral Riemann surfaces
• Can One Hear the Shape of a Drum?
• The Geometries of 3-Manifolds
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD

Cited by

• Zeta functions that hear the shape of a Riemann surface
• Spectral determination of analytic bi-axisymmetric plane domains
• Hearing shapes of drums: Mathematical and physical aspects of isospectrality
• Hearing the shape of a drum [wikipedia]