Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal.

DOI10.5802/aif.2007zbMath1049.58033arXivmath/0111016OpenAlexW1784113816WikidataQ115159046 ScholiaQ115159046MaRDI QIDQ1878473

Juan Pablo Rossetti, Carolyn S. Gordon

Publication date: 20 August 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111016

zbMATH Keywords

absolute boundary conditionsHodge Laplacianmiddle degree spectrum

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Isospectrality (58J53)

Related Items (15)

Spectra of orbifolds with cyclic fundamental groups ⋮ Corrigendum to: ``Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal ⋮ Length spectra and \(p\)-spectra of compact flat manifolds ⋮ Approximating orbifold spectra using collapsing connected sums ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Isospectral orbifolds with different maximal isotropy orders ⋮ On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces ⋮ Orbifold lens spaces that are isospectral but not isometric ⋮ $\Gamma $-extensions of the spectrum of an orbifold ⋮ Equivariant isospectrality and Sunada's method ⋮ Recent results on the spectra of Lens spaces ⋮ Asymptotic expansion of the heat kernel for orbifolds ⋮ Isospectrality for Orbifold Lens Spaces ⋮ A Computational Study on Lens Spaces Isospectral on Forms ⋮ Lens Spaces, Isospectral on Forms but not on Functions

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