The Ribaucour transformation in Lie sphere geometry

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dc.creatorBurstall, F. E.
dc.creatorHertrich-Jeromin, U.
dc.date2004-07-14
dc.date2005-04-25
dc.date.accessioned2026-07-07T07:35:20Z
dc.date.available2026-07-07T07:35:20Z
dc.descriptionWe discuss the Ribaucour transformation of Legendre maps in Lie sphere geometry. In this context, we give a simple conceptual proof of Bianchi's original Permutability Theorem and its generalisation by Dajczer--Tojeiro. We go on to formulate and prove a higher dimensional version of the Permutability Theorem. It is shown how these theorems descend to the corresponding results for submanifolds in space forms.
dc.descriptionv2: Introduction expanded and references added. 20 pages, 4 Postscript figures
dc.identifierhttps://arxiv.org/abs/math/0407244
dc.identifierhttp://arxiv.org/abs/math/0407244
dc.identifierDifferential Geom. Appl. 24 (2006) 503-520
dc.identifierdoi:10.1016/j.difgeo.2006.04.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120056
dc.subjectDifferential Geometry
dc.subject53C40, 37K35 (Primary) 53A40, 53B25 (Secondary)
dc.titleThe Ribaucour transformation in Lie sphere geometry
dc.typetext

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