The Length of Harmonic Forms on a Compact Riemannian Manifold

Simple item page
dc.creatorNagy, Paul-Andi
dc.creatorVernicos, Constantin
dc.date2003-01-31
dc.date.accessioned2026-07-07T04:54:48Z
dc.date.available2026-07-07T04:54:48Z
dc.descriptionWe study $n$ dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti number equal to $n-1$ showing that they are 2-steps nilmanifolds with some special metrics. We also characterise, in terms of properties on the product of harmonic forms, the left invariant metrics among them. This allows us to clarify the case of equality in the stable isosytolic inequalities in that setting. We also discuss other values of the Betti number.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0301369
dc.identifierhttp://arxiv.org/abs/math/0301369
dc.identifierTransactions of the American Mathematical Society, 356 (2004) no. 6, 2501-2513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66400
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject53C20 ; 58J50
dc.titleThe Length of Harmonic Forms on a Compact Riemannian Manifold
dc.typetext

Files

Collections

arXiv