On lens spaces which are isospectral but not isometric

DOI10.24033/asens.1384zbMath0451.58037OpenAlexW122786511MaRDI QIDQ3897742

Akira Ikeda

Publication date: 1980

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1980_4_13_3_303_0

zbMATH Keywords

generating functionLaplacianhomotopy equivalentisospectral non- isometric lens spaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items

The spectrum on \(p\)-forms of a lens space, Geometric structures and the Laplace spectrum, Part II, Spectra of orbifolds with cyclic fundamental groups, On space forms of real Grassmann manifolds which are isospectral but not isometric, On a relation between spectral theory of lens spaces and Ehrhart theory, One cannot hear the shape of a drum, Isospectral drums and simple groups, Isospectral manifolds with different local geometries, Spectral theory of a class of nilmanifolds attached to Clifford modules, Line bundle Laplacians over isospectral nilmanifolds, An explicit formula for the Dirac multiplicities on lens spaces, Orbifold lens spaces that are isospectral but not isometric, The spectral length of a map between Riemannian manifolds, $\Gamma $-extensions of the spectrum of an orbifold, The heat equation in several complex variables, Isospectrality for spherical space forms, Recent results on the spectra of Lens spaces, When you can't hear the shape of a manifold, Sphere and torus music, Isospectral deformations of closed Riemannian manifolds with different scalar curvature, Isospectrality for Orbifold Lens Spaces, On the spectrum and the geometry of spherical space forms. II, Bounded domains which are isospectral but not congruent, A Computational Study on Lens Spaces Isospectral on Forms, Isospectral metrics and potentials on classical compact simple Lie groups, The first eigenvalues of finite Riemannian covers, Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric.

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