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.
|Original language||English (US)|
|Number of pages||10|
|State||Published - Jun 20 2012|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
ASJC Scopus subject areas
- Geometry and Topology