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

Fedor K. Nilov, Mikhail Skopenkov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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. © 2012 Springer Science+Business Media B.V.
Original languageEnglish (US)
Pages (from-to)301-310
Number of pages10
JournalGeometriae Dedicata
Volume163
Issue number1
DOIs
StatePublished - Jun 20 2012

ASJC Scopus subject areas

  • Geometry and Topology

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