A Closed Surface of Genus One in E 3 Cannot Contain Seven Circles Through Each Point

DOI10.2307/2046136zbMath0617.53053OpenAlexW4247026265MaRDI QIDQ4727006

Nobuko Takeuchi

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046136

zbMATH Keywords

surface of genus onecircles on surfaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05)

Related Items (5)

A surface containing a line and a circle through each point is a quadric ⋮ Surfaces that are covered by two pencils of circles ⋮ A system of fifth-order partial differential equations describing a surface which contains many circles ⋮ Darboux cyclides and webs from circles ⋮ Hulahoop surfaces

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