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

Handle URI:
http://hdl.handle.net/10754/562221
Title:
A surface containing a line and a circle through each point is a quadric
Authors:
Nilov, Fedor K.; Skopenkov, Mikhail
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.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
Springer Verlag
Journal:
Geometriae Dedicata
Issue Date:
20-Jun-2012
DOI:
10.1007/s10711-012-9750-0
ARXIV:
arXiv:1110.2338
Type:
Article
ISSN:
00465755
Sponsors:
The authors were supported in part by President of the Russian Federation grant MK-3965.2012.1 and the program FCP-2012-1.2.2-12-000-1001-7779. The second author was supported in part by "Dynasty" foundation and Simons-IUM fellowship.
Additional Links:
http://arxiv.org/abs/arXiv:1110.2338v2
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorNilov, Fedor K.en
dc.contributor.authorSkopenkov, Mikhailen
dc.date.accessioned2015-08-03T09:56:54Zen
dc.date.available2015-08-03T09:56:54Zen
dc.date.issued2012-06-20en
dc.identifier.issn00465755en
dc.identifier.doi10.1007/s10711-012-9750-0en
dc.identifier.urihttp://hdl.handle.net/10754/562221en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe authors were supported in part by President of the Russian Federation grant MK-3965.2012.1 and the program FCP-2012-1.2.2-12-000-1001-7779. The second author was supported in part by "Dynasty" foundation and Simons-IUM fellowship.en
dc.publisherSpringer Verlagen
dc.relation.urlhttp://arxiv.org/abs/arXiv:1110.2338v2en
dc.subjectCircleen
dc.subjectCircular surfaceen
dc.subjectConic bundleen
dc.subjectCyclideen
dc.subjectRuled surfaceen
dc.titleA surface containing a line and a circle through each point is a quadricen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalGeometriae Dedicataen
dc.contributor.institutionLaboratory of Geometrical Methods in Mathematical Physics, Moscow State University, Moscow, Russian Federationen
dc.contributor.institutionInstitute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russian Federationen
dc.identifier.arxividarXiv:1110.2338en
kaust.authorSkopenkov, Mikhailen
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