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A surface containing a line and a circle through each point is a quadric |
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| Authors: | Fedor Nilov Mikhail Skopenkov |
| Institution: | 1. Laboratory of Geometrical Methods in Mathematical Physics, Moscow State University, Moscow, Russia 2. King Abdullah University of Science and Technology, Thuwal, Saudi Arabia 3. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia |
| Abstract: | 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. |
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