On a formula for the spectral flow and its applications

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dc.creatorBenevieri, Pierluigi
dc.creatorPiccione, Paolo
dc.date2008-01-26
dc.date.accessioned2026-07-07T08:56:43Z
dc.date.available2026-07-07T08:56:43Z
dc.descriptionWe consider a continuous path of bounded symmetric Fredholm bilinear forms with arbitrary endpoints on a real Hilbert space, and we prove a formula that gives the spectral flow of the path in terms of the spectral flow of the restriction to a finite codimensional closed subspace. We also discuss the case of restrictions to a continuous path of finite codimensional closed subspaces. As an application of the formula, we introduce the notion of spectral flow for a periodic semi-Riemannian geodesic, and we compute its value in terms of the Maslov index.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0801.4102
dc.identifierhttp://arxiv.org/abs/0801.4102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146712
dc.subjectFunctional Analysis
dc.subjectDifferential Geometry
dc.titleOn a formula for the spectral flow and its applications
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