When the Morse index is infinite

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dc.creatorAbbondandolo, Alberto
dc.creatorMajer, Pietro
dc.date2004-03-31
dc.date.accessioned2026-07-07T05:06:57Z
dc.date.available2026-07-07T05:06:57Z
dc.descriptionLet f be a smooth Morse function on an infinite dimensional separable Hilbert manifold, all of whose critical points have infinite Morse index and co-index. For any critical point x choose an integer a(x) arbitrarily. Then there exists a Riemannian structure on M such that the corresponding gradient flow of f has the following property: for any pair of critical points x,y, the unstable manifold of x and the stable manifold of y have a transverse intersection of dimension a(x)-a(y).
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0403552
dc.identifierhttp://arxiv.org/abs/math/0403552
dc.identifierInternational Mathematics Research Notices 71 (2004) 3839-3854
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70668
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.titleWhen the Morse index is infinite
dc.typetext

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