On the Existence of Minimal Tori in $S^3$ of Arbitrary Spectral Genus

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dc.creatorCarberry, Emma
dc.date2004-07-16
dc.date.accessioned2026-07-07T05:10:25Z
dc.date.available2026-07-07T05:10:25Z
dc.descriptionMinimal tori that are linearly full in the 3-sphere possess a natural invariant g called their spectral genus, which was introduced by Hitchin. We show that for each g>0, there are countably many real g-dimensional families of minimally immersed tori with spectral genus g (two of these dimensions are just reparametrisations of the torus). Each family maps from a fixed torus of rectangular conformal type.
dc.description49 pages, 7 figues, PhD Thesis
dc.identifierhttps://arxiv.org/abs/math/0407296
dc.identifierhttp://arxiv.org/abs/math/0407296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71922
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject14H70;37K25;53C42
dc.titleOn the Existence of Minimal Tori in $S^3$ of Arbitrary Spectral Genus
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