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Special functions on the sphere with applications to minimal surfaces

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Publication:696811
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DOI10.1006/aama.2001.0788zbMath1012.33009OpenAlexW2015317392MaRDI QIDQ696811

Frank E. Baginski

Publication date: 12 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2001.0788


zbMATH Keywords

minimal surfacesLegendre functionsLamé functions


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Spherical harmonics (33C55) Lamé, Mathieu, and spheroidal wave functions (33E10)


Related Items (1)

Visualization of Enneper’s surface by line graphics



Cites Work

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  • Lower bounds on volumes of vector fields
  • Uniqueness, symmetry, and embeddedness of minimal surfaces
  • Complete minimal surfaces and minimal herissons
  • The buckling of elastic spherical caps
  • Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature
  • Concerning my paper on the boundary behavior of minimal surfaces
  • On uniqueness of Riemann’s examples
  • On the Third Fundamental Form of a Surface
  • On Minimal Surfaces




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