Higher dimensional Schwarz's surfaces and Scherk's surfaces

DOI10.1007/s00526-018-1372-4zbMath1398.53012arXiv1607.07153OpenAlexW2964154585MaRDI QIDQ1656497

Jaigyoung Choe, Jens Hoppe

Publication date: 10 August 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07153

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

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Cites Work

• Embedded minimal surfaces derived from Scherk's examples
• Extending minimal varieties
• On the existence of higher dimensional Enneper's surface
• Higher-dimensional Scherk's hypersurfaces.
• Higher dimensional minimal submanifolds generalizing the catenoid and helicoid
• On a Generalization of the Catenoid
• The Dirichlet problem for the minimal surface equation in higher dimensions.