Willmore spheres in quaternionic projective space

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dc.creatorLeschke, K.
dc.date2002-09-26
dc.date2005-10-28
dc.date.accessioned2026-07-07T06:35:31Z
dc.date.available2026-07-07T06:35:31Z
dc.descriptionThe Willmore energy for Frenet curves in quaternionic projective space is the generalization of the Willmore functional for immersions into the 4-sphere. Critical points of the Willmore energy are called Willmore curves in quaternionic projective space. Using a Baecklund transformation on Willmore curves, we generalize Bryant's result on Willmore spheres in 3--space: a Willmore sphere in quaternionic projective space has integer Willmore energy, and is given by complex holomorphic data.
dc.description23 pages, v2: improved presentation, qualified references added
dc.identifierhttps://arxiv.org/abs/math/0209359
dc.identifierhttp://arxiv.org/abs/math/0209359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99814
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject53Axx, 53Cxx, 30Fxx
dc.titleWillmore spheres in quaternionic projective space
dc.typetext

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