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Tight and O-tight polyhedral embeddings of surfaces

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Publication:1138812
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DOI10.1007/BF01403167zbMath0432.53041OpenAlexW2047723521MaRDI QIDQ1138812

Wolfgang Kuehnel

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142718


zbMATH Keywords

polyhedral surfacestwo-piece-propertytight embeddings


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Polytopes and polyhedra (52Bxx)


Related Items

The unique 3-neighborly 4-manifold with few vertices ⋮ Stacked polytopes and tight triangulations of manifolds ⋮ Plongements polyédraux tendus et nombre chromatique relatif des surfaces à bord



Cites Work

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  • Polyeder mit zehn Ecken vom Geschlecht drei
  • Tight polyhedral Klein bottles, projective planes, and Möbius bands
  • Critical points and curvature for embedded polyhedra
  • Minimal total absolute curvature for immersions
  • Tight topological embeddings of the Moebius band
  • Tightly Embedded 2-Dimensional Polyhedral Manifolds
  • Critical Points and Curvature for Embedded Polyhedral Surfaces
  • The Two-Piece Property and Tight n-Manifolds-With-Boundary In E n
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