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Curvature, Harnack's inequality, and a spectral characterization of nilmanifolds

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Publication:1810770
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DOI10.1023/A:1022888232095zbMath1026.58021MaRDI QIDQ1810770

Bruno Colbois, Ernst A. Ruh, Erwann Aubry, Patrick Ghanaat

Publication date: 9 June 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

Harnack inequalityLaplaciannilmanifolds


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)


Related Items

A spectra comparison theorem and its applications, Manifolds with small Dirac eigenvalues are nilmanifolds, The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length, Vanishing of cohomology groups and large eigenvalues of the Laplacian on \(p\)-forms, The length of harmonic forms on a compact Riemannian manifold



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