Classification of surfaces in three-sphere in Lie sphere geometry

DOI10.1017/S0027763000005924zbMath0862.53010OpenAlexW1563181962MaRDI QIDQ5285305

Takayoshi Yamazaki, Atsuko Yamada Yoshikawa

Publication date: 2 June 1997

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000005924

zbMATH Keywords

contact manifoldLie sphere geometryDupin hypersurfacesLegendre submanifolds

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

Plane curves in Lie sphere geometry

Cites Work

• Lie contact structures and normal Cartan connections
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Plane curves in Lie sphere geometry

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