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The uniqueness for minimal surfaces in \(S^ 3\)

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Publication:1117452
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DOI10.1007/BF01168871zbMath0667.49025OpenAlexW2042563432MaRDI QIDQ1117452

Miyuki Koiso

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155376


zbMATH Keywords

maximum principleminimal surfacesJordan curveHopf fibering


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)





Cites Work

  • Unnamed Item
  • A uniqueness theorem for minimal surfaces in \(S^ 3\)
  • A new uniqueness theorem for minimal surfaces
  • The global behavior of minimal surfaces in \(S^ n\)
  • Regularity of minimizing surfaces of prescribed mean curvature
  • A Theory of Branched Immersions of Surfaces
  • On the number of simply connected minimal surfaces spanning a curve




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