Envelopes and osculates of Willmore surfaces

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dc.creatorLeschke, K.
dc.creatorPedit, F.
dc.date2003-06-09
dc.date2005-11-10
dc.date.accessioned2026-07-07T09:43:25Z
dc.date.available2026-07-07T09:43:25Z
dc.descriptionWe view conformal surfaces in the 4--sphere as quaternionic holomorphic curves in quaternionic projective space. By constructing enveloping and osculating curves, we obtain new holomorphic curves in quaternionic projective space and thus new conformal surfaces. Applying these constructions to Willmore surfaces, we show that the osculating and enveloping curves of Willmore spheres remain Willmore.
dc.description12 pages, 2 figures; v2: improved definition of Frenet curves, minor changes in presentation
dc.identifierhttps://arxiv.org/abs/math/0306150
dc.identifierhttp://arxiv.org/abs/math/0306150
dc.identifierJ. London Math. Soc (2) 75 (2007), p. 199-212.
dc.identifierdoi:10.1112/jlms/jdl003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162552
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53Axx, 53Cxx, 30Fxx
dc.titleEnvelopes and osculates of Willmore surfaces
dc.typetext

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