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Bonnet surfaces with constant curvature

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Publication:1126960
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DOI10.1007/BF03322088zbMath0930.53021OpenAlexW1973488973MaRDI QIDQ1126960

Atsushi Fujioka, Jun-Ichi Inoguchi

Publication date: 15 February 2000

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322088


zbMATH Keywords

Lawson correspondenceBonnet surfaces


Mathematics Subject Classification ID

Local submanifolds (53B25)


Related Items (2)

Timelike Bonnet surfaces in Lorentzian space forms. ⋮ BONNET SURFACES IN FOUR-DIMENSIONAL SPACE FORMS




Cites Work

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  • Bonnet surfaces and isothermic surfaces
  • Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function
  • Surfaces with harmonic inverse mean curvature and Painlevé equations
  • Isometric deformation on surfaces in the hyperbolic 3-manifold preserving the mean curvature
  • Complete minimal surfaces in \(S^ 3\)
  • Constant mean curvature surfaces and integrable equations
  • Principal-curvature-preserving isometries of surfaces in ordinary space
  • Surfaces with harmonic inverse mean curvature in space forms
  • Bonnet surfaces and Painlevé equations




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