A surface containing a line and a circle through each point is a quadric
Algebraic Geometry
2014-01-28 v2
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.
Cite
@article{arxiv.1110.2338,
title = {A surface containing a line and a circle through each point is a quadric},
author = {Fedor Nilov and Mikhail Skopenkov},
journal= {arXiv preprint arXiv:1110.2338},
year = {2014}
}
Comments
Improved exposition, 4 figures added