Curve shortening and the topology of closed geodesics on surfaces

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dc.creatorAngenent, Sigurd B.
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:40Z
dc.date.available2026-07-07T08:02:40Z
dc.descriptionWe study "flat knot types" of geodesics on compact surfaces M^2. For every flat knot type and any Riemannian metric g we introduce a Conley index associated with the curve shortening flow on the space of immersed curves on M^2. We conclude existence of closed geodesics with prescribed flat knot types, provided the associated Conley index is nontrivial.
dc.description55 pages, published version
dc.identifierhttps://arxiv.org/abs/0705.3012
dc.identifierhttp://arxiv.org/abs/0705.3012
dc.identifierAnn. of Math. (2) 162 (2005), no. 3, 1187--1241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129296
dc.subjectDifferential Geometry
dc.subject53C44; 53C22; 58E10
dc.titleCurve shortening and the topology of closed geodesics on surfaces
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