Rectification of circles and quaternions

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dc.creatorTimorin, Vladlen
dc.date2001-10-14
dc.date.accessioned2026-07-07T04:43:49Z
dc.date.available2026-07-07T04:43:49Z
dc.descriptionConsider a bundle of circles passing through 0 in 4-dimensional space. It is said to be rectifiable if there is a germ of diffeomorphism at 0 that takes all circles from our bundle to straight lines. We will give a classification of all rectifiable bundles of circles containing sufficiently many circles in general position. This result is surprisingly different from those in dimensions 2 and 3(Khovanskii and Izadi) due to a connection with the quaternionic algebra.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0110144
dc.identifierhttp://arxiv.org/abs/math/0110144
dc.identifierMichigan Mathematical Journal, 51 (2003), pp. 153-167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62387
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53A04; 11R52
dc.titleRectification of circles and quaternions
dc.typetext

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