Metrics without Morse index bounds

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dc.creatorColding, Tobias H.
dc.creatorHingston, Nancy
dc.date2002-10-18
dc.date.accessioned2026-07-07T04:52:07Z
dc.date.available2026-07-07T04:52:07Z
dc.descriptionOn any surface we give an example of a metric that contains simple closed geodesics with arbitrary high Morse index. Similarly, on any 3-manifold we give an example of a metric that contains embedded minimal tori with arbitrary high Morse index. Previously no such examples were known. We also discuss whether or not such bounds should hold for a generic metric and why bumpy does not seem to be the right generic notion. Finally, we mention briefly what such bounds might be used for.
dc.descriptionTo appear in Duke Mathematical journal
dc.identifierhttps://arxiv.org/abs/math/0210290
dc.identifierhttp://arxiv.org/abs/math/0210290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65350
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleMetrics without Morse index bounds
dc.typetext

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