Spectral Flow, Maslov Index and Bifurcation of semi-Riemannian Geodesics

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dc.creatorPiccione, Paolo
dc.creatorPortaluri, Alessandro
dc.creatorTausk, Daniel V.
dc.date2002-11-05
dc.date2002-11-06
dc.date.accessioned2026-07-07T04:52:41Z
dc.date.available2026-07-07T04:52:41Z
dc.descriptionWe give a functional analytical proof of the equality between the Maslov index of a semi-Riemannian geodesic and the spectral flow of the path of self-adjoint Fredholm operators obtained from the index form. This fact, together with recent results on the bifurcation for critical points of strongly indefinite functionals (see P. M. Fitzpatrick, J. Pejsachowicz, L. Recht, Spectral Flow and Bifurcation of Strongly Indefinite Functionals Part I. General Theory, J. Funct. Anal. 162 (1) (1999), 52-95.) imply that each non degenerate and non null conjugate (or $P$-focal) point along a semi-Riemannian geodesic is a bifurcation point.
dc.descriptionLaTeX2e, amsart class, 22 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0211091
dc.identifierhttp://arxiv.org/abs/math/0211091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65556
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject58E10, 58J55, 53D12, 34K18, 47A53
dc.titleSpectral Flow, Maslov Index and Bifurcation of semi-Riemannian Geodesics
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