On space forms of real Grassmann manifolds which are isospectral but not isometric

DOI10.2996/kmj/1138043715zbMath0891.53033OpenAlexW2156638278MaRDI QIDQ1364539

Akira Ikeda

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.2996/kmj/1138043715

zbMATH Keywords

Grassmann manifoldspace formsisospectralfixed point free representationsalmost conjugate subgroups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (7)

Spectra of orbifolds with cyclic fundamental groups ⋮ Isospectral orbifolds with different maximal isotropy orders ⋮ Representation equivalence and \(p\)-spectrum of constant curvature space forms ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ Isospectrality for spherical space forms ⋮ Recent results on the spectra of Lens spaces ⋮ A Computational Study on Lens Spaces Isospectral on Forms

Cites Work

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• Isospectral closed Riemannian manifolds which are not locally isometric
• On integral formulas for submanifolds of spaces of constant curvature and some applications
• Riemannian coverings and isospectral manifolds
• On spherical spaces forms which are isospectral but not isometric
• On lens spaces which are isospectral but not isometric
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS

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