Maps That Take Lines to Circles, in Dimension 4

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dc.creatorTimorin, Vladlen
dc.date2003-09-03
dc.date.accessioned2026-07-07T05:00:49Z
dc.date.available2026-07-07T05:00:49Z
dc.descriptionWe list all analytic diffeomorphisms between an open subset of the 4-dimensional projective space and an open subset of the 4-dimensional sphere that take all line segments to arcs of round circles. These are the following: restrictions of the quaternionic Hopf fibrations and projections from a hyperplane to a sphere from some point. We prove this by finding the exact solutions of the corresponding system of partial differential equations.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0309053
dc.identifierhttp://arxiv.org/abs/math/0309053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68457
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53A04
dc.titleMaps That Take Lines to Circles, in Dimension 4
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