On products of harmonic forms

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dc.creatorKotschick, D.
dc.date2000-04-02
dc.date2000-05-21
dc.date.accessioned2026-07-07T06:32:18Z
dc.date.available2026-07-07T06:32:18Z
dc.descriptionWe prove that manifolds admitting a Riemannian metric for which products of harmonic forms are harmonic satisfy strong topological restrictions, some of which are akin to properties of flat manifolds. Others are more subtle, and are related to symplectic geometry and Seiberg-Witten theory. We also prove that a manifold admits a metric with harmonic forms whose product is not harmonic if and only if it is not a rational homology sphere.
dc.descriptionRevised to include flatness of formal metrics on tori of arbitrary dimension
dc.identifierhttps://arxiv.org/abs/math/0004009
dc.identifierhttp://arxiv.org/abs/math/0004009
dc.identifierDuke Math. Journal 107 (2001), 521--531.
dc.identifierdoi:10.1215/S0012-7094-01-10734-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98860
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject53C25; 57R57, 58A14, 57R17
dc.titleOn products of harmonic forms
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