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Embedded minimal surfaces, computer graphics and elliptic functions

  • David Hoffman
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1156)

Keywords

Riemann Surface Minimal Surface Dihedral Group Total Curvature Gaussian Image 
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References

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    J. Lucas M. Barbosa and A. Gervasio Colares, Exemplos de Superficies Minimas no R3, Fifth Differential Geometry Workshop, University of São Paulo, July 30–August 4, 1984.Google Scholar
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    C. Costa, Imersões minimas completas em R3 de genero um e curvatura total finita, Doctoral thesis, IMPA, Rio de Janeiro, Brasil, 1982. (Also in "Example of a complete minimal immersion in R3 of genus one and three embedded ends", to appear in Boletim da Sociedade Brasiliera Mathematica, 15, No.1)Google Scholar
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    D. Hoffman and W. Meeks III, A complete embedded minimal surface with genus one, three ends and finite total curvature. (preprint)Google Scholar
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    D. Hoffman and W. Meeks III, Complete embedded minimal surfaces of finite total curvature. Bull.A.M.S., January 1985.Google Scholar
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    D. Hoffman and W. Meeks III, to appearGoogle Scholar
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    D. Hoffman and R. Osserman, The geometry of the generalized Gauss map, Mem. Amer Math. Soc. No. 236, 1980.Google Scholar
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    L. Jorge and W. Meeks III, The topology of complete minimal surfaces of finite total Gaussian curvature, Topology, 22 No. 2, 203–221, 1983.MathSciNetCrossRefzbMATHGoogle Scholar
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    R. Osserman, Global properties of complete minimal surfaces in E3 and En, Ann. of Math., (2) 80, 340–364, 1964.MathSciNetCrossRefzbMATHGoogle Scholar
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    R. Schoen, Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Diff. Geom. 18, 791–809, 1983.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • David Hoffman
    • 1
  1. 1.University of MassachusettsUSA

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