Symmetry via spherical reflection

DOI10.1007/BF02921949zbMath1010.53007MaRDI QIDQ5950240

John McCuan

Publication date: 19 December 2001

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

planar reflectionspherical reflectionsymmetry of closed surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (4)

Capillary surfaces in a cone ⋮ Capillary surfaces with free boundary in a wedge ⋮ Every ring type spanner in a wedge is spherical ⋮ Symmetry about circles and constant mean curvature surface

Cites Work

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• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Symmetry and related properties via the maximum principle
• The symmetry of sessile and pendent drops
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• Symmetry via spherical reflection and spanning drops in a wedge
• A symmetry problem in potential theory

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