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Weingarten affine translation surfaces in Euclidean 3-space

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Publication:681238
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DOI10.1007/s00025-017-0737-xzbMath1381.53019OpenAlexW2751476518MaRDI QIDQ681238

Seoung Dal Jung, Yixuan Liu, Liu Hui-Li

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-017-0737-x


zbMATH Keywords

differential equationmean curvatureGauss curvatureWeingarten surfaceaffine translation surface


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)


Related Items

Singular Minimal Translation Graphs in Euclidean Spaces ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature



Cites Work

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  • On closed Weingarten surfaces
  • Potential applications of Weingarten surfaces in CAGD. I: Weingarten surfaces and surface shape investigation
  • Affine translation surfaces with constant mean curvature in Euclidean 3-space
  • Affine translation surfaces in Euclidean 3-space
  • Global affine differential geometry of hypersurfaces
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