Morse theory of harmonic forms

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dc.creatorFarber, Michael
dc.creatorKatz, Gabriel
dc.creatorLevine, Jerome
dc.date1997-11-11
dc.date.accessioned2026-07-07T03:24:35Z
dc.date.available2026-07-07T03:24:35Z
dc.descriptionWe consider the problem of whether it is possible to improve the Novikov inequalities for closed 1-forms, or any other inequalities of a similar nature, if we assume, additionally, that the given 1-form is harmonic with respect to some Riemannian metric. We show that, under suitable assumptions, it is impossible. We use, in an essential way, a theorem of E.Calabi characterizing 1-forms which are harmonic with respect to some metric. We also study some interesting examples illustrating our results.
dc.description16 pages, AMSTex, 12 figures
dc.identifierhttps://arxiv.org/abs/dg-ga/9711007
dc.identifierhttp://arxiv.org/abs/dg-ga/9711007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33383
dc.subjectDifferential Geometry
dc.titleMorse theory of harmonic forms
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