A construction of non-flat, compact irreducible Riemannian manifolds which are isospectral but not isometric

DOI10.1007/BF01214512zbMath0396.53022WikidataQ115393882 ScholiaQ115393882MaRDI QIDQ1253458

Norio Ejiri

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172870

zbMATH Keywords

Compact Irreducible Riemannian ManifoldsIsospectralNonflat

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Multiplicity of solutions to the Yamabe equation on warped products, The rigidity of sharp spectral gap in non-negatively curved spaces, Some recent developments on the Steklov eigenvalue problem, The first eigenvalue of the Laplacian on tori, Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF, Unnamed Item, On lens spaces which are isospectral but not isometric, Bakry-Émery Ricci curvature bounds for doubly warped products of weighted spaces, Bounded domains which are isospectral but not congruent, Generic spectrum of warped products and G-manifolds

Cites Work

• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Manifolds of Negative Curvature