On the zero-in-the-spectrum conjecture

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dc.creatorFarber, M.
dc.creatorWeinberger, S.
dc.date1999-11-11
dc.date.accessioned2026-07-07T05:31:33Z
dc.date.available2026-07-07T05:31:33Z
dc.descriptionWe prove that the answer to the "zero-in-the-spectrum" conjecture, in its form, suggested by J. Lott, is negative. Namely, we show that for any n > 5 there exists a closed n-dimensional manifold M, so that zero does not belong to the spectrum of the Laplace-Beltrami operator acting on the L^2 forms of all degrees on the universal covering of M.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/9911077
dc.identifierhttp://arxiv.org/abs/math/9911077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79385
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject57Q10
dc.titleOn the zero-in-the-spectrum conjecture
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