Isothermic and S-Willmore Surfaces as Solutions to Blaschke's Problem

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dc.creatorMa, Xiang
dc.date2004-05-05
dc.date.accessioned2026-07-07T10:22:30Z
dc.date.available2026-07-07T10:22:30Z
dc.descriptionWe consider the generalization of classical Blaschke's Problem to higher codimension case, characterizing Darboux pair of isothermic surfaces and dual S-Willmore surfaces as the only non-trivial surface pairs that envelop a 2-sphere congruence and conformally correspond to each other. When the sphere congruence is the mean curvature spheres of one envelop surface, it must be a cmc-1 surface in hyperbolic 3-space, or a S-Willmore surface. A study of conformally immersed surface pairs is indicated with discussion on the geometric meaning of new invariants.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0405085
dc.identifierhttp://arxiv.org/abs/math/0405085
dc.identifierResultsMath.48:301-309,2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175535
dc.subjectDifferential Geometry
dc.subject53A05 (53A30, 53A55)
dc.titleIsothermic and S-Willmore Surfaces as Solutions to Blaschke's Problem
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