Isospectral surfaces of small genus

DOI10.1017/S0027763000002518zbMath0605.58041OpenAlexW1517700129WikidataQ125629728 ScholiaQ125629728MaRDI QIDQ3742384

Richard M. Tse, Robert Brooks

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0027763000002518

zbMATH Keywords

spectrum of the Laplacianisospectral manifoldssurfaces of small genus

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Classification theory of Riemann surfaces (30F20)

Related Items

Isospectral surfaces of genus two and three ⋮ Iso-length-spectral problem for complete hyperbolic surfaces of finite type ⋮ The Sunada construction and the simple length spectrum ⋮ Isospectral sets of conformally equivalent metrics ⋮ Isospectral families of conformally equivalent Riemannian metrics ⋮ Counting isospectral manifolds ⋮ One cannot hear the shape of a drum ⋮ Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds ⋮ Isospectral deformations II: Trace formulas, metrics, and potentials ⋮ Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups ⋮ Isoscattering on surfaces ⋮ Determinants of Laplacians and isopolar metrics on surfaces of infinite area. ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Isospectral plane domains and surfaces via Riemannian orbifolds ⋮ When you can't hear the shape of a manifold ⋮ Sphere and torus music ⋮ Isospectral deformations of closed Riemannian manifolds with different scalar curvature ⋮ Transplantation and isospectrality. I ⋮ Small volume isospectral, non-isometric, hyperbolic 2-orbifolds

Cites Work

• Subgroups inducing the same permutation representation
• Riemannian coverings and isospectral manifolds
• Isospectral and non-isometric Riemannian manifolds
• On manifolds of negative curvature with isospectral potentials