Harmonic mappings related to Scherk's saddle-tower minimal surfaces

DOI10.1216/rmjm/1022009280zbMath0982.53008OpenAlexW2007351592MaRDI QIDQ5928691

William R. Thygerson, Peter Duren

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html

zbMATH Keywords

harmonic functionrotational symmetrystarlike region

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20) Harmonic functions on Riemann surfaces (30F15)

Related Items (8)

The Schwarzian derivative for harmonic mappings ⋮ Zero-curvature point of minimal graphs ⋮ A family of minimal surfaces and univalent planar harmonic mappings ⋮ Minimal surfaces over stars ⋮ Rosette harmonic mappings ⋮ HARMONIC MAPPING RELATED WITH THE MINIMAL SURFACE GENERATED BY ANALYTIC FUNCTIONS ⋮ Harmonic shears of elliptic integrals ⋮ Harmonic Univalent Mappings and Minimal Graphs

Cites Work

• Embedded minimal surfaces derived from Scherk's examples
• Harmonic univalent functions
• The Argument Principle for Harmonic Functions
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