A surface containing a line and a circle through each point is a quadric
KAUST DepartmentVisual Computing Center (VCC)
Preprint Posting Date2011-10-11
Online Publication Date2012-06-20
Print Publication Date2013-04
Permanent link to this recordhttp://hdl.handle.net/10754/562221
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AbstractWe prove that a surface in 3-dimensional Euclidean space containing a line and a circle through each point is a quadric. We also give some particular results on the classification of surfaces containing several circles through each point. © 2012 Springer Science+Business Media B.V.
SponsorsThe authors were supported in part by President of the Russian Federation grant MK-3965.2012.1 and the program FCP-2012-1.2.2-12-000-1001-7779. The second author was supported in part by "Dynasty" foundation and Simons-IUM fellowship.