Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric.

DOI10.1215/S0012-7094-02-11326-XzbMath1042.58020arXivmath/0003007OpenAlexW1823024878WikidataQ115240309 ScholiaQ115240309MaRDI QIDQ1847932

Carolyn S. Gordon, Zoltán Imre Szabó

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003007

zbMATH Keywords

Laplace operatorisospectral deformationsisospectral Riemannian manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Isospectrality (58J53)

Related Items (10)

Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal. ⋮ Spectral isolation of naturally reductive metrics on simple Lie groups ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ Laplacian spectral basis functions ⋮ Spaces of Riemannian metrics ⋮ Inaudibility of sixth order curvature invariants ⋮ Inverse spectral problem for analytic \((\mathbb Z/2\mathbb Z)^n\)-symmetric domains in \(\mathbb R^n\) ⋮ Isoscattering deformations for complete manifolds of negative curvature

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