Joachimsthal surfaces in \(S^3\)

DOI10.1007/BF02686244zbMath0990.53004MaRDI QIDQ1582964

L. A. Masal'tsev

Publication date: 27 August 2002

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

zbMATH Keywords

surfaces of rotationsurfaces of constant mean curvature

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)

Cites Work

• All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
• Counterexample to a conjecture of H. Hopf
• Constant mean curvature tori in terms of elliptic functions.
• Constant mean curvature immersions of Enneper type
• Explicit examples to the H-problem of Heinz Hopf
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