The length of harmonic forms on a compact Riemannian manifold

DOI10.1090/S0002-9947-04-03546-9zbMath1048.53023arXivmath/0301369WikidataQ115289096 ScholiaQ115289096MaRDI QIDQ4461196

Constantin Vernicos, Paul-Andi Nagy

Publication date: 29 March 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301369

zbMATH Keywords

compact manifoldsAlbanese mapnilmanifoldsharmonic forms

Mathematics Subject Classification ID

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

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The gap of the eigenvalues for \(p\)-forms and harmonic \(p\)-forms of constant length, On length and product of harmonic forms in Kähler geometry, The dimensional reduction and Kähler metric of forms in flux and warping, Boundary case of equality in optimal Loewner-type inequalities

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