Sequences of Willmore surfaces

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dc.creatorLeschke, K.
dc.creatorPedit, F.
dc.date2006-10-21
dc.date.accessioned2026-07-07T09:43:26Z
dc.date.available2026-07-07T09:43:26Z
dc.descriptionIn this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore surface either is the twistor projection of a holomorphic curve into complex projective space or the inversion of a minimal surface with planar ends in 4-space. These results give a unified explanation of previous work on the characterization of Willmore spheres and Willmore tori with non-trivial normal bundles by various authors.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0610648
dc.identifierhttp://arxiv.org/abs/math/0610648
dc.identifierMath. Z. (2008) 259: 113-122
dc.identifierdoi:10.1007/s00209-007-0214-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162554
dc.subjectDifferential Geometry
dc.subject53C43; 53A30
dc.titleSequences of Willmore surfaces
dc.typetext

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