Central cross-sections make surfaces of revolution quadric

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dc.creatorSolomon, Bruce
dc.date2007-12-17
dc.date2008-06-06
dc.date.accessioned2026-07-07T09:42:45Z
dc.date.available2026-07-07T09:42:45Z
dc.descriptionWe prove here that when all planes transverse and nearly perpendicular to the axis of a surface of revolution intersect it in loops having central symmetry, the surface must be quadric. It follows that the quadrics are the only surfaces of revolution without skewloops. Similar statements hold for hypersurfaces of revolution in higher dimensions.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0712.2796
dc.identifierhttp://arxiv.org/abs/0712.2796
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162299
dc.subjectDifferential Geometry
dc.subject53A05; 53A15
dc.titleCentral cross-sections make surfaces of revolution quadric
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