A sphere as a surface which contains many circles

DOI10.1007/BF01220483zbMath0571.53001OpenAlexW1981824092MaRDI QIDQ1062016

Nobuko Takeuchi

Publication date: 1985

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01220483

zbMATH Keywords

surfacecirclesumbilical points

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items

Families of congruent curves and applications ⋮ Circular surfaces ⋮ A sphere as a surface which contains many circles. II ⋮ A surface containing a line and a circle through each point is a quadric ⋮ A system of fifth-order partial differential equations describing a surface which contains many circles ⋮ Darboux cyclides and webs from circles ⋮ A time-like surface in Minkowski 3-space which contains light-like lines ⋮ A sphere can be characterized as a smooth ovaloid which contains one circle through each point

Cites Work

• A submanifold which contains many extrinsic circles
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