Characterizations of some product manifolds by their spectrum

DOI10.1007/s00605-005-0315-2zbMath1088.53028OpenAlexW2046525801MaRDI QIDQ814803

Chang-Yu Xia

Publication date: 7 February 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0315-2

zbMATH Keywords

manifoldmetricspectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• A characterization of the product of two 3-spheres by the spectrum
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Eigenvalues of the Laplacian of Riemannian manifolds
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS

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