Isospectral closed Riemannian manifolds which are not locally isometric
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Publication:688594
DOI10.4310/jdg/1214453902zbMath0792.53037OpenAlexW1488550965WikidataQ115180202 ScholiaQ115180202MaRDI QIDQ688594
Publication date: 20 December 1993
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214453902
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)
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Geometric structures and the Laplace spectrum, Part II ⋮ On sub-Riemannian and Riemannian structures on the Heisenberg groups ⋮ On space forms of real Grassmann manifolds which are isospectral but not isometric ⋮ The rigidity of sharp spectral gap in non-negatively curved spaces ⋮ On the curvature of certain extensions of $H$-type groups ⋮ Lie groups locally isomorphic to generalized Heisenberg groups ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ Inaudibility of sixth order curvature invariants ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ The minimal marked length spectrum of Riemannian two-step nilmanifolds ⋮ Riemannian nilmanifolds and the trace formula ⋮ Isospectral deformations of closed Riemannian manifolds with different scalar curvature ⋮ The length spectrum of Riemannian two-step nilmanifolds1 ⋮ Modified \(H\)-type groups and symmetric-like Riemannian spaces ⋮ Isospectral metrics and potentials on classical compact simple Lie groups ⋮ Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric. ⋮ Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms ⋮ Lens Spaces, Isospectral on Forms but not on Functions ⋮ A Poisson formula for Heisenberg manifolds
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