Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms

DOI10.1080/10586458.1992.10504258zbMath0778.53001OpenAlexW2072655210MaRDI QIDQ5285862

Lucas Hsu, Rob Kusner, John M. Sullivan

Publication date: 29 June 1993

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

Full work available at URL: https://projecteuclid.org/euclid.em/1048622023

zbMATH Keywords

polyhedral surfacessmooth minimizersBrakke's surface evolversquared mean curvature integral

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05) Software, source code, etc. for problems pertaining to differential geometry (53-04)

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Cites Work

• A duality theorem for Willmore surfaces
• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• Comparison surfaces for the Willmore problem
• Complete minimal surfaces in \(S^ 3\)
• Conformal geometry and complete minimal surfaces
• Unnamed Item