(Z_2^k)-manifolds are isospectral on forms

We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, $\Delta_f$, acting on sections of the full exterior bundle over an arbitrary compact flat Riemannian n-manifold M with holonomy group Z_2^k, with 0

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Hauptverfasser: Miatello, R. J, Podesta, R. A, Rossetti, J. P
Format: Artikel
Sprache:eng
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Zusammenfassung:We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, $\Delta_f$, acting on sections of the full exterior bundle over an arbitrary compact flat Riemannian n-manifold M with holonomy group Z_2^k, with 0
DOI:10.48550/arxiv.math/0408285