Isospectral deformations of metrics on spheres
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Publication:5944960
DOI10.1007/s002220100150zbMath0995.58004arXivmath/0005156OpenAlexW3101496094MaRDI QIDQ5944960
Publication date: 21 October 2002
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0005156
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Nilpotent and solvable Lie groups (22E25) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)
Related Items (13)
Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal. ⋮ Spectral isolation of bi-invariant metrics on compact Lie groups ⋮ Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups ⋮ Isospectral Alexandrov spaces ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ Equivariant isospectrality and Sunada's method ⋮ Isoscattering deformations for complete manifolds of negative curvature ⋮ Steklov and Robin isospectral manifolds ⋮ Riemannian nilmanifolds and the trace formula ⋮ Non-isometric Riemannian \(G\)-manifolds with equal equivariant spectra ⋮ Lens Spaces, Isospectral on Forms but not on Functions
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