On the lowest eigenvalue of the Hodge Laplacian

DOI10.4310/jdg/1214459798zbMath0874.58087OpenAlexW1570501355WikidataQ115175887 ScholiaQ115175887MaRDI QIDQ1364623

Sagun Chanillo, François Treves

Publication date: 1 October 1997

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214459798

zbMATH Keywords

Riemannian metriceigenvaluesinjectivity radiusHodge-Laplaciananalytic level sets

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Petites valeurs propres des fibrés principaux en tores ⋮ Local exactness in a class of differential complexes ⋮ Petites valeurs propres et classe d'Euler des S1-fibrés ⋮ Gradient and eigenvalue estimates on the canonical bundle of Kähler manifolds ⋮ Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds ⋮ Collapsing and the differential form Laplacian: the case of a smooth limit space. ⋮ A Cheeger-like inequality for coexact 1-forms

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