A surface containing a line and a circle through each point is a quadric
Type
ArticleKAUST Department
Visual Computing Center (VCC)Date
2012-06-20Preprint Posting Date
2011-10-11Online Publication Date
2012-06-20Print Publication Date
2013-04Permanent link to this record
http://hdl.handle.net/10754/562221
Metadata
Show full item recordAbstract
We 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.Citation
Nilov, F., & Skopenkov, M. (2012). A surface containing a line and a circle through each point is a quadric. Geometriae Dedicata, 163(1), 301–310. doi:10.1007/s10711-012-9750-0Sponsors
The 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.Publisher
Springer NatureJournal
Geometriae DedicataarXiv
1110.2338Additional Links
http://arxiv.org/abs/arXiv:1110.2338v2ae974a485f413a2113503eed53cd6c53
10.1007/s10711-012-9750-0