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arXiv · 1110.2338

A surface containing a line and a circle through each point is a quadric

Fedor Nilov·Mikhail Skopenkov
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Abstract

We prove that a surface in real 3-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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Fedor Nilov, Mikhail Skopenkov. 2012-08-15. A surface containing a line and a circle through each point is a quadric. https://doi.org/10.1007/s10711-012-9750-0

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