Higher genus Riemann minimal surfaces

dc.creatorHauswirth, Laurent
dc.creatorPacard, Frank
dc.date2005-11-17
dc.date.accessioned2026-07-07T06:51:23Z
dc.date.available2026-07-07T06:51:23Z
dc.descriptionWe construct higher genus Riemann's minimal surfaces properly embedded in the Euclidean space. To do that we glue end by end a Costa-Hoffman-Meeks examples to two halves genus zero Riemann's minimal surfaces. In first we need to perform a deformation of a Costa-Hoffman-Meeks example to prescribe the flux vector along the catenoidal ends. Then we study the mapping property of the Jacobi operator on the half Riemann example as a perturbation analysis of a CMC-Delaunay half cylinder.
dc.description43 pages
dc.identifierhttps://arxiv.org/abs/math/0511438
dc.identifierhttp://arxiv.org/abs/math/0511438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104968
dc.subjectDifferential Geometry
dc.titleHigher genus Riemann minimal surfaces
dc.typetext

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