The Eigenvalue Spectrum as Moduli for Flat Tori

DOI10.2307/1997901zbMath0405.58051OpenAlexW4243223821MaRDI QIDQ4191332

Scott A. Wolpert

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997901

zbMATH Keywords

Jacobi IdentityNon GenericSpectrum of the Laplace-Beltrami-OperatorTwo-Dimensional Flat Tori

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (9)

Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg ⋮ The isospectral problem for flat tori from three perspectives ⋮ Spectral isolation of naturally reductive metrics on simple Lie groups ⋮ Spectral isolation of bi-invariant metrics on compact Lie groups ⋮ Some new results on dimension datum ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ Borne explicit du nombre de tores plats isospectraux à un tore donné. (Explicit bound of the number of flat tori isospectral to a given flat torus) ⋮ Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms ⋮ Higher-dimensional Scherk's hypersurfaces.

Cites Work

• Unnamed Item
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• An Introduction to the Geometry of Numbers
• Correction to: Silberg' trace formua as applied to a compact riemann surface by H. P. Mckean, comm. pure appl. math. 25, pp. 225‐246,1972
• The eigenvalue spectrum as moduli for compact Riemann surfaces
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Lectures on Modular Forms. (AM-48)

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