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Isometric immersions of tori into \(\mathbb{R}^ 3\) with given mean curvature

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Publication:1193231
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DOI10.1007/BF03323088zbMath0761.53005OpenAlexW2074116275MaRDI QIDQ1193231

Shing H. Doong, Ioannis M. Roussos

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf03323088


zbMATH Keywords

isometric immersionsnon-constant mean curvaturecongruent immersions


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)


Related Items (1)

Tangential developable surfaces as Bonnet surfaces




Cites Work

  • Unnamed Item
  • On the mean curvature function for compact surfaces
  • An Elementary Proof of the Existence of Isothermal Parameters on a Surface
  • On the Number of Distinct Isometric Immersions of a Riemannian Surface Into R 3 with Given Mean Curvature
  • A characterization of tori with constant mean curvature in space form




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