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

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

2011-10-11

arxiv.org/abs/1110.2338v1

Mathematics

Algebraic Geometry

6 pages, 1 figure

Scientific paper

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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