Constant mean curvature polytopes and hypersurfaces via projections

DOI10.1016/j.difgeo.2013.10.002zbMath1284.52015OpenAlexW2033148417WikidataQ115356487 ScholiaQ115356487MaRDI QIDQ2636742

Paul Baird

Publication date: 31 January 2014

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.10.002

zbMATH Keywords

orthogonal projectionregular polytopeconstant mean curvature hypersurfaceconstant mean curvature polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Partial difference equations (39A14)

Related Items (2)

The Geometric Spectrum of a Graph and Associated Curvatures ⋮ Curvature on a graph via its geometric spectrum

Cites Work

• PL minimal surfaces in 3-manifolds
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms
• Drawing with complex numbers.
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